2012-2013 Winter OMO #43
Source:
January 16, 2013
Online Math Openpigeonhole principleblogs
Problem Statement
In a tennis tournament, each competitor plays against every other competitor, and there are no draws. Call a group of four tennis players ``ordered'' if there is a clear winner and a clear loser (i.e., one person who beat the other three, and one person who lost to the other three.) Find the smallest integer for which any tennis tournament with people has a group of four tennis players that is ordered.Ray Li