Friends at a party: Difference between revisions

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Created page with '==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 o…'
 
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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 friend?  Explain.
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 13:03, 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.