Having a ball
Probability
Level
1
I have 6 identical balls and 4 identical boxes to put them in. If each box contains at least 1 ball, how many possible distributions are there?
2
3
1
0
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1 solution
Moderator note:
Good clear explanation. How can we generalize this problem?
The distributions are 3-1-1-1 and 2-2-1-1. Since the boxes and balls are identical, the only thing that matters is the numbers,, not the arrangements. (I.e., 2-2-1-1 is identical to 1-2-1-2.)