Friends at a party: Difference between revisions

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Oscarlevin (talk | contribs)
Zerrakhi (talk | contribs)
Clarify that we're only talking about friends who are present at the party!
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==Puzzle==
==Puzzle==


An extremely popular mathematician threw a party.  Including himself, there were 15 people at the party.  Must there have been two people there with the same number of friends?  Explain.
An extremely popular mathematician threw a party.  Including himself, there were 15 people at the party.  Must there have been at least two people with the same number of friends present?  Explain.


[[Category: Graph theory]]
[[Category: Graph theory]]
[[Category: Pigeonhole principle]]
[[Category: Pigeonhole principle]]

Revision as of 05:17, 13 October 2010

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 with the same number of friends present? Explain.