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Mutually friendly (Posted on 2002-07-01) Difficulty: 2 of 5
Prove that any group of six people contains either 3 mutual friends or 3 mutual strangers.

(For the purpose of this problem any pair of people must be either friends or strangers.)

See The Solution Submitted by levik    
Rating: 3.0000 (5 votes)

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Solution No Subject | Comment 2 of 11 |
If there are six people then all six of them maybe friends. So there are 3 people who are friends. If the six people dont know each other then 3 of them are strangers. Either I am right or don't know the meaning of mutual!

(By the way levik, Isn't this a question from an IQ test?)
  Posted by Dulanjana on 2002-07-02 00:23:15
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