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Friends at a party

11 bytes added, 06:17, 13 October 2010
Clarify that we're only talking about friends who are present at the party!
==Puzzle==
An extremely popular mathematician threw a party. Including himself, there were 15 people at the party. Must there have been at least two people there with the same number of friendspresent? Explain.
[[Category: Graph theory]]
[[Category: Pigeonhole principle]]
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