Difference between revisions of "1998 IMO Problems/Problem 2"
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Revision as of 16:51, 23 March 2015
In a competition, there are a contestants and b judges, where b ≥ 3 is an odd integer. Each judge rates each contestant as either “pass” or “fail”. Suppose k is a number such that, for any two judges, their ratings coincide for at most k contestants. Prove that k/a ≥ (b − 1)/(2b)
