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Counting the Types 2 (Posted on 2007-06-05) Difficulty: 2 of 5
A group of 25 people consists of knights, knaves and liars. Each person was asked "Are you a knight?", and 17 responded yes. Each person was then asked "Are you a knave?", and 12 responded yes. And finally each person was asked "are you a liar?", and 8 responded yes.

How many knights, knaves and liars are in the group?

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (1 votes)

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nice one | Comment 5 of 6 |
This is a really good one. Makes you stop and think, and has an elegant answer. I especially like that the people who answered Yes to the second question are a subset of those who answered Yes to the first, and those who responded Yes to the third were a subset of those who responded Yes to the second.
  Posted by pleasance on 2008-12-15 10:08:18
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