Difference between revisions of "Friends at a 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 | + | 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. |
[[Category: Graph theory]] | [[Category: Graph theory]] | ||
[[Category: Pigeonhole theorem]] | [[Category: Pigeonhole theorem]] |
Revision as of 14:03, 30 March 2010
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.