3 Ladies

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3 Ladies

THREE LADY LIARS

Drag me — Drop me...

Three women, 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 the table below.

In the REASON column, 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?

This problem is worth 5 points
if you make the table AND
you write 12 words or less for each arrangement
stating why it is possible or impossible.

Comments:

From wHolt - 9/16/08 10:14 PM

1	2	3	Reason
T	J	A	NO-because if T tells the truth, then ...
A	T	J	NO-because if A always lies, then ...

Your table will probably require more than 2 rows.
How many rows exactly will it require?
Before you make your table, make a list of all the candidate arrangements.
Listing all choices is the sure way to know.

From wHolt - 9/11/08 9:24 AM

Email me your table as a gif image.

You will need to give a reason why or why not for each arrangement of the ladies.

Then Delete your comment.

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Last Modified 12/10/08 5:41 PM