Friends or non-friends: Difference between revisions

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Created page with '==Puzzle== If there are six people in a room, must there be at least three of them who are either all friends with each other or all non-friends with each other? (If A is frien…'
 
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[[Category: Graph theory]]
[[Category: Graph theory]]
[[Category: Pigeonhole theorem]]
[[Category: Pigeonhole principle]]

Revision as of 06:10, 14 May 2010

Puzzle

If there are six people in a room, must there be at least three of them who are either all friends with each other or all non-friends with each other? (If A is friends with B, then B is friends with A.) Explain.