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Who remembers IMO 2001?

Source: IMO ShortList 1988, Problem 21, Poland 4, Problem 61 of ILL

November 3, 2005
combinatoricsSpernerPartial OrdersIMO Shortlist

Problem Statement

Forty-nine students solve a set of 3 problems. The score for each problem is a whole number of points from 0 to 7. Prove that there exist two students A A and B B such that, for each problem, A A will score at least as many points as B. B.
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