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an international meeting - classic-

Source: bmo 1985

April 23, 2007
combinatorics proposedcombinatorics

Problem Statement

There are 19851985 participants to an international meeting. In any group of three participants there are at least two who speak the same language. It is known that each participant speaks at most five languages. Prove that there exist at least 200200 participans who speak the same language.
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