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CAPS 2005 Problem 4

    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?

    Dataset text AI-MO AoPS. Quoted with source.

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