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 Colorful hats (Posted on 2014-04-16)
A, B, and C were in a line blindfolded. They each had a hat put on their heads. They knew that the hats were taken from a box of 2 red, 2 yellow, and 3 blue hats. When the blindfolds were taken off, A could see B's and C's hats, B could only see C's hat, and C could not see any hats. They made the following statements.

A:I cannot tell what color my hat is not.
B:I cannot tell what color my hat is not.
C:I can tell what color my hat is.

What color is C's hat and how does C know?

 See The Solution Submitted by Math Man Rating: 2.0000 (1 votes)

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 obvious answer if possible | Comment 1 of 6
Since there are the same number of red and yellow hats, and a different number of blue, this problem is only solvable if the answer is C's hat is blue.

 Posted by Jer on 2014-04-16 10:26:41

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