Question

The number of ways to put 5 identical balls in 3 identical boxes such that no box is empty, is

• A. 12
• B. 2
• C. 5
• D. 4

Answer 1

The correct option is B

2

In one arrangement, the balls can be put in the boxes as $1,1,3$.

In another arrangement, the balls can be put in the boxes as $1,2,2$.

Since the balls and the boxes are identical, there will be no further arrangements.

So, there are only 2 ways to put 5 identical balls in 3 identical boxes such that no box is empty.