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Arrange balls so that A gets as many as 4 others

Source: Czech-Polish-Slovak 2005 Q4

April 27, 2013
floor functionalgebrapolynomialcombinatorics unsolvedcombinatorics

Problem Statement

We distribute n≥1n\ge1 labelled balls among nine persons A,B,C,…,IA,B,C, \dots , I. How many ways are there to do this so that AA gets the same number of balls as B,C,DB,C,D and EE together?
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