Problem Solving with Truth Tables

The King has a daughter who is eligible for marriage, but she has three suitors seeking her hand. The King brings out three pots one of which contains the name of his daughter. The one who chooses the pot with the name in it wins her hand in marriage. The gold pot has the inscription "This pot contains the name", while the silver pot says "This pot does not contain the name", and the lead pot is inscribed "The Silver pot does not contain the name". The King tells the suitors that exactly one inscription is false.

Which pot would you choose?

Truth table solution:

GOLD
SILVER
LEAD
Name here
This pot contains the name
Name here
This pot does not contain the name
Name here
The Silver pot does not contain the name
X
T
 
T
 
T
 
F
X
F
 
F
 
F
 
T
X
T

Which row contains exactly one false statement?

Solution is similar to that for the card game.

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Last updated 2000/02/11
© J.A.N. Lee, 2000.