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3 Ladies


Drag me—Drop me...

Ms. Thompson, Ms. Johnson, and Ms. Anderson, sit side by side
at a meeting of their neighborhood improvement group.
Ms. Thompson always tells the truth.
Ms. Johnson sometimes tells the truth.
Ms. Anderson never tells the truth.
The woman on the left says, "Ms. Thompson is in the middle."
The woman in the middle says "I'm Ms. Johnson."
The woman on the right says, "Ms. Anderson is in the middle."
What are the correct positions of the women?

To start thinking about this problem,
list all possible seating arrangements of the three women in a table.
Make a table in a comment below.
Watch the video showing how to make tables on the Make A Table page.

Argue for or against each arrangement.
You are going to arrange many things this semester.
Drag the ladies around with your mouse in the applet above.
How many positions did you count?

1 2 3 Reason 
    

Start your table as above and add rows for each arrangement.


This problem is worth 7 points
if you make the table in a comment AND
you write one English sentence for each arrangement
stating why it is possible or impossible.

HOWEVER—
Before you receive your 7 points, you must answer the following question privately by email:
It is different!
Ms. Thompson always tells the truth.
Ms. Johnson sometimes tells the truth.
Ms. Anderson never tells the truth.
The woman on the left says, "Ms. Johnson is in the middle."
The woman in the middle says "I'm Ms. Anderson."
The woman on the right says, "Ms. Thompson is in the middle."
Now, what are the correct positions of the women?
You need not explain your reasons in the email.

 

Comments:

From Draco - 12/8/06 1:20 PM

1 2 3 Reason 
 T J A No-The woman on the left say that Ms. Thompson is in the middle, which would make Ms. Thompson a lier.
 T A J No-The woman on the left say that Ms. Thompson is in the middle, which would make Ms. Thompson a lier.
 A T J No-The woman in the middle says that she is Ms. Johnson, this would make Ms. Thompson a lier.
 A J T No-Ms. Thompson says that Ms. Anderson is in the middle and she never lies.
 J T A No-The woman in the middle says that she is Ms. Johnson, this would make Ms. Thompson a lier.
 J A T Yes-Ms. Thompson says that Ms. Anderson is in the middle and the other two lie.

From Taz - 9/26/06 5:46 PM

 1 2 3Explanation
 A J T The woman in the middle says,"I'm Ms. Johnson." Ms. Johnson sometimes tells the truth.
 J T A The woman in the middle says that Ms. Johnson is on the left, she always tell the truth, therefore Ms. Thompson is the middle.
 T A J The woman on the left, says that Ms. Anderson is in the middle.
 A T JThe woman on the right says that Ms. Thompson is in the middle.
 T J A The woman in the middle says that she is Ms. Johnson and that she is in the middle.
 J A T The woman on the right says that Ms. Anderson is in the middle, Ms. Thompson never lies.
    
    

From GolfGirl - 9/20/06 6:31 PM

 T J A The woman on the left says that Thompson is in the middle,so this order is impossible.
 A J T Thompson never lies and the woman on the right says that Anderson is in the middle. Since Thompson is on the right it is not possible.
 J A T Thompson never lies and she says that Anderson is in the middle, and she is on the right. So this order works.
 T A J Thompson never lies. This order does not work because she is on the left. The woman on the left says that Thompson is in the middle.
 A T J This is not possible because the woman on the left says that Thompson is in the middle, but Anderson always lies.
 J T A This could be possible. The woman on the left says that Thompson is in the middle, and in this order Thompson is. The only problem is that Johnson sometimes tells the truth.

From wHolt - 9/18/06 12:01 PM

THIS PAGE IS NOW CLOSED!
NO MORE ENTRIES WILL BE ACCEPTED!

Yell


FOR FUTURE DEADLINES
CONSULT THE CALENDAR...

From Ivy - 9/17/06 11:50 PM

1 2  34 
 TJ 

A 

 No-  Ms. Thompson never lies
 AJT  No-  Ms. Anderson always lies
 AT J  No-  Ms. Anderson always lies
 JT A  No-  Although Ms. Johnson sometimes tells the truth, Ms. Thompson never lies
 TA J  No-  This arrangement would make Ms. Thompson a lier and she always tell the truth
 JA T  Yes-  Ms. Johnson sometimes lies (woman on left), Ms. Anderson always lies (woman in the middle), Ms. Thompson always tells the truth (woman on the right)

From Lexiowen - 9/17/06 10:09 PM

 1 2 3 
 T J A Thompson wouldn't speak of herself in third person so this is incorrect
 TA J  Thompson wouldn't speak of herself in third person so this is incorrect
J A T Thompson can not be on the left or the middle b/c she would be lying.  Which means she has to be the women on the right.  B/c she is on the right and she always tells the truth, that means that Anderson is in the middle.  And that would leave Johnson on the left.  This is correct
 JT A  Thompson can not be inb the middle b/c that would mean that she was lying by calling herself Johnson- Incorrect
 AJ T  Thompson says that Anderson is in the middle and she doesn't lie-Incorrect
 A T J Thompson can not be inb the middle b/c that would mean that she was lying by calling herself Johnson-Incorrect

From CenterField - 9/17/06 8:06 PM

3 Ladies

The third arrangement works because the statement of the middle person - Ms. Anderson, who never tells the truth - is false. Also, the statement of the person on the right - Ms. Thompson, who always tells the truth - is true. The remaining position does not determine any additional information, as Ms. Johnson sometimes tells the truth and may or may not be in this case. 

From Bubba - 9/17/06 6:58 PM

 ta  j could not be because t always tells the truth
 t j a could not be because t always tells the truth
 j a t most likley since first two lie and t tells the truth
 j t a could not be because t is in middle and she tells the truth
 a j t

 not possable

 a t j not possable

From Trixie - 9/17/06 4:09 PM

 1 2 3Reason
 TJ  ANot Possible- The woman on the left says Ms. Thompson is in the middle, but Ms. Thompson always tells the truth.
 T A J Not Possible- The woman on the left says Ms. Thompson is in the middle, but Ms. Thompson always tells the truth.
 A J T Not Possible- The Woman on the right (Ms. Thompson) says that Ms. Anderson is in the middle. Ms. Thompson never lies.
 A T J Not Possible- The woman sitting in the middle says she is Ms. Johnson. Ms. Thompson never lies so she can't be in the middle.
 J A T Possible- The woman on the right says that "Ms. Anderson is in the middle". She is telling the truth because she (Mrs. Thompson) never lies. Ms. Thompson is the woman on the right. The woman in the middle says " I'm Ms. Johnson.", but Ms. Anderson (the one is the middle) never tells the truth. The woman on the left says " Ms. Thompson is in the middle.", however, Ms. Johnson sometimes lies. This is the best placement.
 J T A The woman sitting in the middle says "I'm Ms. Johnson." However, Ms. Thompson never lies so she can't be in the middle.

From Deuce - 9/17/06 1:59 PM

 1 2 3 REASON
 thompsonjohnson anderson  impossible for thompson not to lie and say she is in middle
 johnsonthompson anderson  wrong thompson never lies
 johnsonanderson thompson  possible but unlikely cause t and j
 thompsonanderson  johnson wrong thompson doesn't lie
 anderson johnson thompson correct or most likely cause anderson lies, johnson and thompsons likelyhood to tell truth
 anderson thompson johnson wrong anderson always lies

From wHolt - 9/17/06 1:49 PM

This week, scores are for all the above IF you have also mailed in the solution to the variation question!

From Soola - 9/17/06 1:32 PM

1 2
3
Reason
A
J
T
You can't trust Ms. Johnson because she sometimes lies. So, you know that Ms. Thompson had to have made the claim that Ms. Anderson is in the middle because she did not claim to be Ms. Johnson and she would not describe her position in the third person. Therefore, this can not be correct.
A
T
J
Again my the way the womens statements are made you can eliminate Ms. Thompson from being in the middle or the left, therefore her having to be on the right makes this combination incorrect.
J
A
T
This combination is correct since Ms. Thompson has to be the one on the right she always tells the truth and claims that Ms. Anderson is in the middle, only leaving Ms. Johnson to be the one on the right.
J
T
A
 Ms. Thompson can't be in the middle because she doesn't lie, and the person in the middle said they were Ms. Johnson. So this is incorrect.
T
A
J
 You know that the person on the left has to be someone who lies because of the claim the middle person makes to be Ms. Johnson which since Ms. Thimpson doesn't lie she can't be on the left.
T
 J
 A
 You know the person on the left isn't Ms. Thompson because she wouldn't lie and say she was in the middle.

From JooJoo - 9/17/06 8:37 AM

 Left

Middle

Right Reasons                                                                             
 T J A This is impossible because if Ms. Thompson always tells the truth then she would be saying that Ms. Thompson was in the middle, and she is on the left. Ms. Johnson could be in the middle because she sometimes tells the truth, and Ms. Anderson could be on right because she always lies and she would be saying that Ms. Anderson is in the middle.
A J  T This is also impossible. Ms. Thompson could not be on the right if Ms. Johnson was in the middle, Ms. Thompson could be on the right if Ms. Anderson was in the middle because that would mean that Ms. Thompson was saying that Ms. Anderson was in the middle. Ms. Johnson could be in the middle, and Ms. Anderson could be on the left because then she would be lieing about Ms. Thompson being in the middle.
JA T This would have to be the correct sequence. Ms. Thompson could be on the right if Ms. Anderson is in the middle because then she would be telling the truth about Ms. Anderson being in the middle. Ms. Anderson could be in the middle because she would then be lieing about saying that she is Ms. Johnson. Ms. Johnson could be on the left because she sometimes tells the truth. 
T A J This sequence would be impossible. Ms. Thompson could not be on the left because she always tells the truth and then she would be saying that Ms. Thompson was in the middle. Ms. Anderson could be in the middle because she always lies and she would be lieing about saying that she was Ms. Johnson. Ms. Johnson could be on the right because she sometimes lies. 
A T J This is impossible. Ms. Thompson couldn't be in the middle because she never lies and then she would be saying that she was Ms. Johnson. Ms. Anderson could not be on the left because she always lies and she would be telling the truth in this situation about saying that Ms. Thompson was in the middle. Ms. Johnson could be on the right because she sometimes tells the truth. 
J  TA This is impossible. Ms. Thompson could not be in the middle, because she always tells the truth and she would be lieing about saying that she was Ms. Johnson. Ms. Anderson could be on the right because she always lies and she would be lieing about ms. Johnson being in the middle, and Ms. Johnson could be on the left because she sometimes tells the truth. 

 

From Aeneid - 9/16/06 5:17 PM

 1 2 3

 REASON

  T  A    J Impossible because Ms.Thompson states that she is in the middle, but she  always tells the truth. 
  J  A TPossible because Ms.Thompsons on the right and she says that Ms. Anderson is int the middle and Ms. T never lies. This is the true seating arrangement.  
  T  J AImpossible because the woman on the left (Ms. Thompson) states that Ms Thompson is in the middle, but Ms Thompson never lies. 
  A  J TImpossible because Ms. Thompson on the right states that Ms. Anderson is in the middle, and Ms Thompson never lies. 
  A  T JImpossible because Ms Thompson in the middle states that she is Ms Johnson, but Ms.Thompson never lies.
  J  T A Impossible because Ms. Thompson in the middle states that Ms Johnson is in the middle, but Ms Thompson never lies.

From Kolin - 9/16/06 3:08 PM

 12 3  Reason
 T JA Impossible b/c Ms. Thompson can't lie. 
 T A JImpossible b/c Ms. Thompson can't lie
 J T AImpossible b/c Ms. Thompson can't lie.
 J A T Possible b/c Ms. Johnson lied and Ms. Thompson told the truth.
 A J T Impossible b/c Ms. Johnson can't tell the truth.
 A T J Impossible b/c Ms. Thompson can't lie.

From SunSport - 9/15/06 11:46 PM

1  2 3 Reason
 T J A Incorrect: This is not correct because Ms. Thompson always tells the truth, and since the woman on the left says, "Ms. Thompson is is the middle.
 J T A Incorrect:  This is not correct because Ms. Thompson always tells the truth, thus she cannot be in the middle.
 J A T Correct:  This is the correct arrangement because Ms. Thompson always tells the truth which means she cannot be in the middle or on the left.  She is on the right and Ms. Anderson is in the middle which leaves Ms. Johnson on the left.
 T A J Incorrect:  This is not correct because Ms. Thompson always tells the truth, and cannot be on the left since the woman on the left says Ms. Thompson is is the middle.
 A T J Incorrect:  This is not correct because Ms. Thompson always tells the truth and cannot be in the middle.
 A J T Incorrect:  This is not correct because Ms. Thompson always tells the truth and says that Ms. Anderson is in the middle.

From SkoolGirl - 9/14/06 9:31 PM

 1 2 3 
 J T AMs. Thompson wouldn't say I'm Ms.Johnson if she were in th middle. 
 J AT  This would work!
 T J A

 Ms. Thompson wouldn't say she's in the middle if she weren't.

 T AJ  Ms. Thompson wouldn't say she's in the middle if she weren't.
 A T J Ms. Thompson wouldn't say she's Ms. Johnson.
 A J T Ms. Thompson wouldn't say Ms. Anderson is in the middle if she is on th left.

From Shanja - 9/14/06 8:05 PM

1 2 3 Reason 

 T

 J A No - Because Ms Thompson woulnt say she is in the middle, because she doesnt lie.
 T A J No - Because Ms. Thompson wouldnt say she is in the middle, because she doesnt lie
 J T A

 No - Because Ms. Thompson wouldn't claim to be someone other than herself because she doesnt lie.

 J A T Yes - This one is correct because all the arangments add up to the correct people. This is the only one where Ms. Thompson wouldnt be lying.
 A J T No - Because Ms. Thompson would not lie and say Ms. Anderson is in the middle if she isnt.
 A T J No - Because Ms. Anderson would never tell the truth and say Ms. Thompson is in the middle.

From Boki - 9/14/06 2:45 PM

 12  3Reason 
 J T A impossible: the woman in the middle says "I'm Ms. Johnson;" Ms. Thompson is not in the middle, she always tells the truth.
 T A J impossible: Since the woman on the left says "Ms. Thompson is in the middle," means that Ms. Thompson is not on the left and she could only be on the right.
 T J A impossible: because we already know that Ms. Thompson is on the right.
 AJ  T impossible: The woman on the right says, "Ms. Anderson is in the middle;" the women on the right is Ms. Thompson and she always tells the truth.
 A T J impossible: because we already know that Ms. Thompson is on the right and Ms. Anderson is in the middle.
 J A T possible: These are the correct positions. Since Ms. Thompson is on the right and says that Ms. Anderson is in the middle, Ms. Johnson could be only on the left.

From RockClimber - 9/12/06 10:51 PM

Left  MiddleRight  Reason
 A T J The woman in the middle says that she is Ms. Anderson. Since Ms. Thompson always tells the truth, Ms. Anderson cannot be in the middle.
 A J T The woman on the right says that Ms. Anderson is in the middle. Since Ms. Thompson never lies, Ms. Johnson cannot be in the middle.
 J A T The woman on the right says that Ms. Anderson is in the middle, and Ms. Thompson never lies. The woman on the left says Ms. Thompson is in the middle, but Ms. Johnson lies sometimes. Ms. Anderson says that she is Ms. Johnson, but she always lies. This is their correct placement. It is also the only correct placement possible.
 J T AThe woman in the middle says she is Ms. Johnson, but Ms. Thompson never lies.
 T A JThe woman on the left says she is Ms. Thompson is in the middle, but Ms. Thompson never lies.
 T J AThe woman on the left says she is Ms. Thompson is in the middle, but Ms. Thompson never lies.
Thanks-Mike Webb

From TBird - 9/12/06 2:11 PM

LEFT MIDDLE RIGHT REASONING 
 JA T CORRECT- THE CORRECT ORDER IS MISS JOHNSON ON THE LEFT, MISS ANDERSON IN THE MIDDLE AND MISS THOMPSON ON THE RIGHT. 
 JTA INCORRECT- MISS THOMPSON DOES NOT LIE SO THIS CAN NOT BE CORRECT 
 TJ A INCORRECT- MISS TOMPSON IS NOT ON THE LEFT DUE TO SHE DOES NOT LIE 
 TA J INCORRECT- ONCE AGAIN MISS THOMPSON DOES NOT LIE SO SHE CAN NOT BE ON THE LEFT 
 AJ T INCORRECT- MISS THOMPSON IS ON THE RIGHT AND SAYS THAT MISS ANDERSON IS IN THE MIDDLE SO IT ELIMINATES THIS ORDER 
 A  T J INCORRECT- MISS THOMPSON CAN NOT BE IN THE MIDDLE BECUASE SHE IS ON THE RIGHT BECUASE SHE DOES NOT LIE 

 

 

SORRY FOR DOIN THE WRONG PROBLEM I THINK I GOT IT THIS TIME

From wHolt - 9/12/06 11:19 AM

Thanks, Harkar and Bigfoot.

TBird - you did the wrong problem. This must be an easy error to make. Careful, Everyone!

Fro - there are more possible arrangements to eliminate

From Fro - 9/11/06 9:20 PM

 1 23  Reason

A 

 T

 J

 Middle cannot be Thompson, she would be lying.

 T

 J

 A

 Middle cannot be Johnson, this would make Thompson a liar

J

A

 T

 Anderson must be in the middle to keep Thompson honest and on the right

J  T A Middle cannot be Thompson, again she would be lying if so.
 A J T

 Thompson stated Anderson was in the middle, she doesn't lie.

 T A J Anderson is in the middle but Thompson is not on the right

From TBird - 9/11/06 12:57 PM

LEFTMIDDLE RIGHT Reasons 
 T   J A CORRECT- BECAUSE MISS THOMPSON NEVER LIES AND THAT LEAVES MISS ANDERSON IN THE RIGHT POSITION 
 AJ T INCORRECT- BECAUSE THE WOMAN ON THE RIGHT SAYS THAT MISS THOMPSON IS IN THE MIDDLE AND MISS THOMPSON NEVER LIES 
 TA J 

INCORRECT- BECAUSE  THE WOMAN ON THE LEFT SAYS MISS JOHNSON IS IN THE MIDDLE BUT ONCE AGAIN MISS THOMPSON NEVER LIES

 JT A  INCORRECT-BECAUSE THE WOMAN IN THE SAYS SHE IS MISS ANDERSON
 AT J INCORRECT- BECAUSE THE WOMAN IN THE MIDDLE SAYS SHE IS MISS ANDERSON AND MISS THOMPSON NEVER LIES 
J A T  INCORRECT- BECAUSE THE WOMAN ON THE RIGHT SAYS MISS THOMPSON IS IN THE MIDDLE BUT MISS THOMPSON NEVER LIES

From Bigfoot - 9/10/06 7:10 PM

 1 2 3 My Reasonings
ATJ

Not possible because Mrs. thompson is in the middle and we know that she is on the left.

AJTMs. Anderson never tells the truth.
TJAMrs. thompson never lies and the woman on the right says she is in the middle.
JTANot possible because Ms. thompson never lies.
JATPossible because Ms. Anderson is in the middle and Mrs. Thompson never lies and Miss. Johnson lies sometimes.
TAJMrs. thompson never lies and the woman on the left says she is in the middle.

From Harkar - 9/10/06 5:06 PM

 Woman on Left Woman in Middle Woman on Right Reason
 T J A Ms. Thompson is not the woman on the left because she would not lie to say she was in the middle.
 T A J Again, Ms. Thompson is not the woman on the left beacuse she would not lie to say she was in the middle.
 A T J The woman in the middle could not be Ms. Thompson because she would not lie.
 A J T This is not correct because Ms Thompson is on the right and she says that the woman in the middle is Ms. Anderson.
 J A T This is the correct seating order.
 J T A The woman in the middle could not be Ms. Thompson because she would not lie.

From wHolt - 9/9/06 3:00 PM

Thanks for not aligning the tables...

From Troll - 9/9/06 2:06 PM

 Left Center Right Reason:
 T J ACan't be right, Truthfull Ms. Thompsan wouldnt say she was in the middle. Excludes her on the left at all.
 T A JMs. Thompsan can't be on the left as stated above.
 A T J Can't be. Ms. Anderson would have to be truthfull about Ms. Thompsan being in the middle.
 A J T Johnson and Anderson could be like this, but it would make Ms. Thompson have to lie.
 J A T This would be correct because Ms. Johnson lies sometime, Ms. Anderson HAS to lie, and Ms. Thompson would be telling the truth.
 J T A Impossible. Ms. Thompson wouldn't say she was Ms. Johnson.

From Phoenix - 9/9/06 10:56 AM

 leftmiddle  right Reason
 T J A Not Possible. Ms. Thompson always tells the truth and in this order the woman in the left says "Ms. Thompson is in the middle." So this cannot be the correct order. 
 T A J Not Possible. Ms. Thomson always tells the truth and again the woman positioned in the left claims to be Ms. Johnson. Ms. Johnson is positioned on the right.
 J A T This is the correct order. The left woman (Johnson) is lying. THe middle woman (Anderson) claims to be Johnson so she is lying. The right woman (Thomson) says Anderson is in the middle and always tells the truth.
 J T A Not possible. The woman positioned in the middle claims to be Ms. Johnson but Ms. Thomson is positioned in the middle and she never lies.
 A T J Not possible. The woman positioned in the middle claims to be Ms. Johnson but Ms. Thomson is positioned in the middle and she never lies.
 A J T Not possible. Ms. Thomas is positioned in the right and right position claims Ms. Anderson is in the middle which is not true. Ms Thomas doesn't lie.

From CatsEyes - 9/9/06 10:37 AM

1  23 Reason 
 T J A Impossible: Ms. Thompson always tells the truth, so if she is on the left and says she is in the middle, this is not true. 
 A J  T Impossible: Ms. Thompson always tells the truth, so if she is on the right and says Ms. Anderson is in the middle then this is not true.
 T A J  Impossible: Ms. Thompson always tells the truth, so if she is on the left and says she is in the middle, this is not true. 
 A T J Impossible: Ms. Thompson always tells the truth, so if she is in the middle and says "I'm Ms. Johnson", then this is not true.
 J T A Impossible: Ms. Thompson always tells the truth, so if she is in the middle and says "I'm Ms. Johnson", then this is not true.
 J A T Possible: Ms. Thompson always tells the truth, so if she is on the right and says Ms. Anderson is in the middle, this is true. This would make this the only correct seating positions of the 3 ladies.
If you notice, all of my position reasons are formed around Ms. Thompson, because she is the only one that never lies.

From Soller - 9/8/06 4:39 PM

1 2 3 Notes 
 A J  T This is incorrect because Anderson would be telling the truth and Thompson would be lying.
 A T  J  This is incorrect because it would mean that Anderson is telling the truth.
 T  J A  This is incorrect because Ms. Thompson would have to lie.
 T A J This is incorrect... Ms. Thompson never lies so if she is in the first chair why would she say that she is in the middle
  J A T This is the correct seating order because Ms. Thompson never lies so she could not be in the first or second chair and Ms. Thompson says Anderson is in the middle so that leaves Johnson to be sitting in the first chair.
  J T A This is incorrect because Ms. Thompson would have to lie about who she is and Ms. Thompson never lies.

From wHolt - 9/8/06 11:11 AM

LIKE THIS...

It may not have been Aeneid, but someone above Aeneid.

Also be careful: the wiki question differs from the email question.

From wHolt - 9/8/06 11:06 AM

When someone messes up the alignment,
you will need to make a dummy comment,
and start over with a new Comment afterwards.

 

 

.

.

.

From Aeneid - 9/7/06 9:00 PM

 1 23  REASON
 A J T THIS IS INCORRECT BECAUSE THE WOMAN ON THE RIGHT STATES THAT MIS THOMPSON IS IN THE MIDDLE AND MS THOMPSON NEVER LIES. 
 T A J THIS IS INCORRECT BECAUSE THE WOMAN ON THE LEFT STATES THAT MS JOHNSON IS IN THE MIDDLE BUT ANDERSON IS AND THOMPSON NEVER LIES.  
 J T A THIS ARRANGEMENT IS INCORRECT BECAUSE THE WOMAN IN THE MIDDLE(MS. THOMPSON) STATES THAT SHE IS ANDERSON, BUT THOMPSON NEVER LIES.
 AT  J THIS POSITION IS INCORRECT BECAUSE THE WOMAN IN THE MIDDLE (THOMPSON) SAYS SHE IS MS ANDERSON BUT THOMPSON NEVER LIES.
 JA  TTHIS POSITION IS IS ALSO INCORRECT BECAUSE THE WOMAN ON THE RIGHT SAYS MS THOMPSON IS IN THE MIDDLE BUT MS THOMPSON NEVER LIES.
 TJ  A THIS POSITION IS CORRECT BECAUSE MS THOMPSON NEVER LIES,MS JOHNSON IS IN THE MIDDLE AND THAT LEAVES MISS ANDERSON ON THE RIGHT.  

From Pac - 9/7/06 11:55 AM

1

2
3
Reason
T
J
A
This option is not possible as Ms. Thompson never lies.
T
A
J
This option is not possible as Ms. Thompson never lies.
J
T
A
This option is not possible as Ms. Thompson never lies.
J
A
T
This is the best option as Ms. Johnson sometimes lies and Ms. Thompson never lies.
A
J
T
This option is not possible as Ms. Thompson never lies.
A
T
J
This option is not possible as Ms. Thompson never lies.

From David - 9/7/06 1:26 AM

 LEFT MIDDLERIGHT  REASON
 T J Anot possible, thompson never lies
 T A Jnot possible, thompson never lies
 J A Tpossible, anderson never tells truth, and thompson never lies
 J T Anot possible, thompson never lies
 A T Jnot possible, thompson never lies
A  J Tnot possible, thompson never lies

From Taurus - 9/6/06 8:59 PM

 J A TThis is possible if Ms. Thompson is sitting on the right because, she never lies. 
A  JT This is not possible. Ms. Thompson said Ms. Anderson is in the middle. 
 J TA  This is not possible. If Ms. Thompson always tells the truth, she can't be in the middle.
 T A J This is not possible. If Ms. Thompson always tells the truth, she can't be on the left because the woman on the left said Ms. Thompson is in the middle.
 T J A This is not possible. Ms. Thompson never lies, so she can't be on the left.
 A T J This is not possible. The woman in the middle said she is Ms. Johnson, this is not true becasue the woman in the middle is Ms. Thompson and she never lies!

From Pod - 9/6/06 8:54 PM

 1

 2

 3

 Reason

 Thompson

(T)

 Johnson

(J)

 Anderson

(A)

impossible - Miss thompson never lies, and the lady on the left says T is in the middle

T 

 A

 J

 also impossible, for the same reason

 A

 T

 J

 Impossible - woman in the middle says she's J

 J

 T

 A

Impossible - same situation as above 

 A

 J

 T

Impossible - having surmised above that T is on the right, and the lady on the right says A is in the middle, J can't be in the middle

 J

 A

 T

 Only possible solution, by process of elimination

 

...looking at the board, I realized I accidentally misread the clues; above is the correct table.

From Melewen - 9/6/06 4:01 PM

 LeftMiddle
Right
Reason
J
A
T
 Correct. Since Mrs Thompson always tells the truth, she cannot be on the left or in the middle. Therefore, she is on the right and Mrs. Anderson is in the middle, like the truthful Mrs Thomspon said. That leaves only Mrs. Johnson who has to be on the left.
JT
A
 Wrong. Since Mrs. Thompson always tells the truth, she cannot be in the middle.
A
J
T
 Wrong. Mrs. Thompson is on the right, but since she always tells the truth, Mrs. Anderson has to be in the middle.
A
T
J
 Wrong. Mrs. Thompson cannot be in the middle, because she always tells the truth.
T
A
J
 Wrong. Since Mrs. Thompson always tells the truth, she cannot be on the left, since the woman on the left says that Mrs. Thompson is, in fact, in the middle.
T
J
A
 Wrong. Since Mrs. Thompson always tells the truth, she cannot be on the left, since the woman on the left says that Mrs. Thompson is, in fact, in the middle.

From wHolt - 9/6/06 2:23 PM

IMPORTANT!

DO NOT SET THE ALIGNMENT IN YOUR TABLES,
OR YOU WILL SCREW UP THE PAGE.

From wHolt - 9/6/06 2:21 PM

 

 

 

 

 

 

From SuperDuke - 9/6/06 2:15 PM

 TJ  Aimpossible: T cannot lie therefore she cannot say she is in the middle 
 T A Jimpossible: T cannot lie therefore she cannot say she is in the middle
 J T Aimpossible: T cannot lie therefore she cannot say she is J 
 J A T

possible: All 3 ladies are in argeement with rules

 A J Timpossible: T cannot lie therefore she cannot say A is in the middle 
A  T Jimpossible: A must lie therefore she cannot say T is in the middle 

From Bob - 9/5/06 10:56 PM

 

Comments 

 T

J

A

Impossible because Ms. Thompson cannot be on the left unless she speaks of herself in the third person. 

 T

A 

J 

Impossible because Ms. Thompson cannot be on the left unless she speaks of herself in the third person. 

 J

A 

T 

TRUE -  because: Ms. Johnson lies – “Ms. Thompson is in the middle”,  Ms. Anderson lies – “I’m Mrs. Johnson”, and Thompson tells the truth – “Mrs. Anderson is in the middle”.

 J

T 

A 

Impossible because the woman on the right says "Ms. Anderson is in the middle" - Therefore it isn't Ms. Anderson on the right. 

 A

T 

J 

Impossible because Ms. Anderson lies and the woman on the left says "Ms. Thompson is in the middle" - Therefore Ms. Anderson cannot be on the left. 

 A

J 

T 

 Impossible because Ms. Thompson is truthful and could not say "Ms. Anderson is in the middle" in this situation.

From Zonino - 9/5/06 10:12 PM

1 2 3 Reason 
 ThompsonAndersonJohnson  Impossible  - Ms. Thompson never lies so she would never say that she was in the middle when she is not.
 AndersonThompson Johnson Impossible - Ms. Thompson never lies so she would never claim to be Ms. Johnson.
 AndersonJohnsonThompson Impossible - Ms. Thompson never lies so she would not say Ms. Anderson was in the middle when she was not.
 JohnsonAndersonThompson Possible - Ms. Thomspon never lies and correctly stated that Ms. Anderson is in the middle.  Ms. Johnson sometimes tells the truth, meaning she could lie about Ms. Thomspon being in the middle.  Ms. Anderson always lies and so it is possible she said she was Ms. Johnson (in the middle).
 JohnsonThompsonAnderson Impossible - Ms. Thompson never lies and never would claim to be Ms. Johnson.
ThompsonJohnsonAnderson Impossible - Ms. Thompson never lies and would never claim to be in the middle unless she was.

From BassLady - 9/5/06 8:48 PM

 Left Middle RightReasoning 
 T J AThis is not possible because Ms. Thompson never lies.
 T A J This is not possible because Ms. Thompson never lies.
 J T A This is not possible because Ms. Thompson never lies.
 J A T This is possible because Ms. Thompson never lies and Ms. Johnson tells the truth only sometimes.
 A J T This is not possible because Ms. Thompson never lies.
 A T J This is not possible because Ms. Thompson never lies.

From Butterfly - 9/5/06 8:41 PM

1  2 3 Reason
 J T A If Ms. Johnson is on the left
 A TJ  
 TA J  
 AJ T  
 TJ A  
    
    
    
    

From Slick - 9/5/06 7:46 PM

 12 3 Notes                                      
 AT J   Not Possible, Ms. Anderson Lies
 AJ T  Not Possible, Ms. Thompson tells the truth
 JA T  This arrangement is possible.
 JT A  Not Possible, Ms. Thompson tells the truth
 TA J  Not Possible, Ms. Thompson tells the truth
 TJ A  Not Possible, Ms. Thompson tells the truth

From Tiger - 9/5/06 6:25 PM

 1 23  Reason
 A J T Ms Anderson never tells the truth.
 A T J Ms Anderson never tells the truth.
 J T A Not possible, Ms Thompson never lies.
 J A T This is possible.
 T A J Ms Thompson never lies.
 T J A Ms Thompson never lies.

From 7Iron - 9/5/06 5:49 PM

123Reason 
T J A This is not possible. Ms.T never lies and is saying that Ms. J is in the middle.
T A J This is not possible considering Ms. T never lies.
J T AThis is not possible because Ms. T never lies and would never say that she is Ms. J
J A T This is possible.Ms. T never lies and so Ms. A is in the middle. Ms. A is in the middle and always lies so we know she cannot be Ms. J.
A J T This cannot be possible beacause Ms. T never lies and would not say Ms. A is in the middle.
A T J This is not possible because Ms. never lies and would not say that she is Ms. J

From Poovey - 9/5/06 5:44 PM

 Leftchairmiddle chair right chaircomments 
 t j a This one is not correct because the woman on the right says ms.anderson is in the middle
 t a j This one is possible because Ms. Johnson always tells the truth
 j t a this one is not right because the woman on the right is ms. anderson
 a j t this one is not possible
 a t j this one is not possible
 j a t this one is possible because ms. thompson always tells the truth
    

From Cheana - 9/5/06 4:16 PM

 1 2 3Reasons 
 T J A This cannot be correct because Ms. T is on the left and she does not lie, and the woman on the left claims that Ms. T is in the middle.  
 TA 

J 

 Again, this seating arrangement cannot be true because it quesitons Ms. T's integrity and we know her to always tell the truth.
J T A  This arrangement is false as well because the woman in the middle claims to be Ms. J, in the arrangement the woman in the middle is Ms. T who (as stated before) cannot lie.
J A T  This arrangment is correct because it preserves the integrity of Ms.T because the woman on the right claims that Ms. A is in the middle which she is in this arrangment.  Also, the woman in the middle says that she is Ms. J while in reality she is Ms. A and we all know that Ms. A has a problem with lying. The woman on the left says that Ms. T is in the middle, however, we cannot hold her to her words for we know that she sometimes tends to lie which she may be doing in this situation.  I believe this situation is correct.
A T J  This arrangement cannot be true because the woman in the middle claims to be Ms. J which she is not, she is Ms T and she cannot lie.
A J T  This arrangement cannot be true because Ms T is on the right and the woman on the right claims that Ms. A is in the middle which she is not, thus the lady on the right is a lier which Ms T is not.

From Kathi - 9/5/06 3:44 PM

 TJ
A
 Mrs. Thompson can not be in the left seat because she states that Mrs. Thompson is in the middle & Mrs. Thompson always tells the truth.
 TA
J
Again, Mrs. Thompson can not be on the left seat because she states that Mrs. Thompson is in the middle.
 JT
A
Mrs. Thompson can not be in the middle because the woman in the middle is stating that she is Mrs. Johnson & like the above Mrs. Thompson does not lie.
 AT
J
Again, Mrs. Thompson can not be in the middle because the woman in the middle is stating that she is Mrs. Johnson.
 AJ
T
 This is the only position left for Mrs. Thompson so then we need to look at what she is saying. Since we know this is Mrs. Thompson & that she always tells the truth we know that Mrs. Anderson is in the middle, not on the left as shown.
 JA
T
 Mrs. Anderson always lies to we can disregard that she is stating that she is Mrs. Johnson. Mrs. Johnson is on the left & is lying by telling us that Mrs. Thompson is in the middle. Therefore, we can conclude that this is the correct seating of each of the individual ladies. Johnson, Anderson, Thompson.

From wHolt - 9/5/06 11:28 AM

WHEN YOU MAKE A TABLE, SELECT A 1 PIXEL BORDER

From Sunshine - 9/4/06 8:47 PM

 LeftMiddle  Right Reason
 T J AThis cannot be if the women on the left says Thompson is in the middle cause she never lies.
 T A J Thompson is not going to state that she is in the middle becuase she never lies. Anderson could be here because  she lies and would state that she is someone else
 A J T This isn't possible because women on right states that Ms.Anderson is in the middle but Thompson doesnt lie.
 A T J Johnson who sometimes lies states in this arrangement that Anderson is in the middle so this is not correct.
 J A T Could possibly be the correct seating arrangement because the women on the left is Johnson who sometimes tell the truth say Thomson is in the middle. Anderson who always lies is in the middle because she states that she is Johnson. Thompson who always tells the truth states that Anderson is in the middle.
 J T A This could hold correct because Johnson states that Thompson is in the middle. But Thompson tells the truth so this cannot be, she would have to lie.

From Pringle - 9/4/06 8:35 PM

 1 2 3 reason
 T J A impossbile:Thompson always tells the truth. She wouldn't say Thompson is in the middle.
 T A J impossible: Thompson always tells the truth. She wouldn't say Thompson is in the middle.
 A J T impossible: This makes Thompson not telling the truth.
 A T J impossible: This makes Thompson not telling the truth.
 J T A impossible: This makes Thompson not telling the truth.
 J A T possible: 1.Johnson sometimes tells the truth; a person in the middle can be either Anderson or Thompson.   2. Anderson never tells the truth; a person in the middle can be Anderson.   3. Thompson always tells the truth; a person in the middle is Anderson. 

From HotrodMinivan - 9/4/06 6:12 PM

 RightMiddle Left Reason 
 Thompson JohnsonAnderson Ms. Thompson would have to lie 
 JohnsonAndersonThompson Best possible arrangement 
 AndersonThompson Johnson Once again would make Ms. Thompson lie 
 ThompsonAnderson Johnson This would have Ms. Thompson lying 
 JohnsonThompson Anderson Same as above, Ms. Thompson would have to lie 
 AndersonJohnson Thompson Still not possible if Ms. Thompson never lies 

From DirtyBird - 9/4/06 5:32 PM

 1 2 3
 T J A
 T A J
 J T A
 J A T
 A J T
 A T J

TJA- Thompson never lies and the woman on the right says she is in the middle.

TAJ- Thompson never lies and the woman on the left says she is in the middle.

JTA- Not possible because Ms. Thompson never lies.

JAT- Possible because Anderson is in the middle and Thompson never lies and Johnson lies sometimes.

AJT- Ms. Anderson never tells the truth.

ATJ- Not possible because Thompson is in the middle and we know that she is on the left and Ms. Anderson never tells the truth. 

From Lost - 9/4/06 3:17 PM

 1 2 3 4
 T J A Thompson would be lying about her position in the middle. 
 T A J Thompson would be lying about her position in the middle.
 J T A Thompson would be lying about her name.
 JA  T Works.
 AT  J Thompson would be lying about Anderson's position.
 A J T Anderson would be telling the truth about Thompson's position and Thompson would be lying about  he own name.

From Capricorn - 9/4/06 1:54 PM

 T J A If the woman on the left says Ms. Thompson is in the middle, this order is impossible because Ms. Thompson is on the left and she never lies. 
 TA  J If the woman on the left says Ms. Thompson is in the middle, this order is impossible because Ms. Thompson is on the left and she never lies.
 J TA  If the woman in the middle says she is Ms. Johnson, this order would be impossible because the woman in the middle is actually Ms. Thompson and she never lies.
 J A TIf the woman on the right says Ms. Anderson is in the middle this would be possible because it would be Ms. Thompson making this statement, and she never lies.
 A T J If the woman in the middle says she is Ms. Johnson, this order would be impossible because the woman in the middle is actually Ms. Thompson and she never lies.
 A J T If the woman in the middle says she is Ms. Johnson, this could be possible because she sometimes tells the truth. However, that would mean Ms. Thompson would be on the right and she stated Ms. Anderson was in the middle.  So this order is also impossible.

From wHolt - 9/4/06 12:23 PM

Good start by 3 pioneers in tabling.

For everyone following, put your reasons in the table under the 4th column.

From BlondeGirl - 9/4/06 10:07 AM

 T A J
 J A T
 T JA 
 A J T
 A T J
 J T A

TAJ – If Mrs. Thompson is on the left, and she says the lady in the middle is Mrs. Thompson then this configuration isn’t possible because Mrs. Thompson always tells the truth.

 

JAT – If Mrs. Johnson is on the left, she sometimes tells the truth – so if she says Mrs. Thompson is in the middle, then it’s possible.  If the woman on the right is Mrs. Thompson and she says that Mrs. Anderson is in the middle, she always tells the truth that leaves this as an open possibility

 

TJA – If Mrs. Thompson is on the left, and she says the Mrs. Thompson is in the middle, she always tells the truth – this is not possible.

 

AJT – If Mrs. Anderson is on the left, and she says that Mrs. Thompson is in the middle, she never tells the truth – this is not possible.

 

ATJ – If Mrs. Anderson is on the left, and she says that Mrs. Thompson is in the middle, she never tells the truth – this is not possible.

 

JTA – If mrs Johnson sometimes  tells the truth and she says that Mrs. Thompson is in the middle, then this is a possibility – so if the lady in the middle says I’m Mrs. Johnson and she is Mrs. Thompson who always tells the truth then that rules this combination out.

From Spartan - 9/4/06 9:36 AM

T  J A
 J T A
 A J T
 T A J
 A T J
 J A T

TJA- Ms. Thompson always tells the truth, so she cannot be he lady on the left, because the lady on the left says that Ms. Thompson is in the middle, and we know she is not.

JTA- Ms. Thompson can't be in the middle because she always tells the truth.  The lady on the left says Ms. Thompson is in the middle, but the lady in the middle says she is Ms. Johnson.

AJT- We have figured out now that Ms. Thompson is on the right, and she never lies.  The lady in the right says that Ms. Anderson is in the middle, not Johnson.

TAJ- This will not work just like arrangement TJA, cause Thompson cannot be in the left or middle.

ATJ- Ms. Thompson is not in the middle per reason JTA.

JAT- This is the right placement, Thompson tells the truth, and we have established that she is on the right, she says that Anderson is in the middle, so that leaves Johnson on the left.

From Houdini - 9/3/06 10:23 PM

123
ATJ
AJT
JAT
JTA
TAJ
TJA

1. ATJ- The woman in the middle says I'm Ms. Anderson, and since Ms. Thompson always tells the truth, she can not be in the middle.

2. AJT- The woman on the right say that Ms. Anderson is in the middle, again Ms. Thompson never lies. Therefore Ms. Johnson can not be in the middle.

3. JAT- The woman on the right says Ms. Anderson is in the middle, Ms. Thompson never lies. The woman on the left says Ms. Thompson is in the middle, But Ms. Johnson sometimes lies. And Ms. Anderson always lies by saying that she is Ms. Johnson. This is their correct placement.

4. JTA- The woman in the middle says I'm Ms. Johnson, but Ms. Thompson never lies.

5. TAJ- The woman on the left says Ms. Thompson is in the middle, but Ms. Thompson never lies.

6. TJA- Again the woman on the left says Ms. Thompson is in the middle, and again Ms. Thompson never lies.


Last Modified 9/4/06 1:08 PM

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