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3m balls distributed into 8 boxes

Source: Turkey JBMO TST 2014 P2

June 21, 2014
ceiling functioncombinatorics proposedcombinatorics

Problem Statement

3m3m balls numbered 1,1,1,2,2,2,3,3,3,…,m,m,m1, 1, 1, 2, 2, 2, 3, 3, 3, \ldots, m, m, m are distributed into 88 boxes so that any two boxes contain identical balls. Find the minimal possible value of mm.
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