# Difference between revisions of "Friends at a party"

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Oscarlevin (talk | contribs) (→Puzzle) |
(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 | + | 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 06:17, 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.