Difference between revisions of "Friends at a party"

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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.
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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.