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Distribution of balls

Source: Indian Postal Coaching 2005

September 23, 2005
functioncombinatorics unsolvedcombinatorics

Problem Statement

In how many ways can nn identical balls be distributed to nine persons A,B,C,D,E,F,G,H,IA,B,C,D,E,F,G,H,I so that the number of balls recieved by AA is the same as the total number of balls recieved by B,C,D,EB,C,D,E together,.
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