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
- --Asuleime
