put balls in boxes with specific capacities

Question

We have $10$ numbered balls and $3$ boxes with capacities: $5$, $3$ and $2$ balls. With how many ways can we put the balls in the boxes? The boxes are distinguished.

I thought that it is like that:

$\binom{10}{5} \cdot \binom{5}{3} \cdot \binom{2}{2}$.Could you tell me if it is right?

@evinde Just to get clear with the given problem. Is there also a distinction between the (numbered) balls ? — callculus42, Apr 26 '14 at 12:44

score 3 · Accepted Answer · answered Apr 26 '14 at 12:14

3

Yes, indeed, your answer is correct.

answered Apr 26 '14 at 12:14

amWhy

209,954

Nice,thank you amWhy !!!! – evinda Apr 26 '14 at 12:42

put balls in boxes with specific capacities

1 Answers1