MathDB
Poland 2002

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August 5, 2007
searchgeometryinequalitiescombinatorics unsolvedcombinatorics

Problem Statement

A positive integer n n is given. In an association consisting of n n members work 6 6 commissions. Each commission contains at least n4 \large \frac{n}{4} persons. Prove that there exist two commissions containing at least n30 \large \frac{n}{30} persons in common.
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