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Revision as of 23:32, 24 September 2008

The number of ways to distribute 5 indistinguishable objects into 3 indistinguishable boxes is the number of partitions of 5 into at most 3 positive integers. Let's list all the possible partitions:

5; 4,1; 3,2; 3,1,1; 2,2,1;

Since all the possibilities are listed, there are 5 ways to distribute 5 indistinguishable objects into 3 indistinguishable boxes.

Answer: 5

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