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In how many ways can you distribute 10 indistinguishable balls among 8 distinguishable boxes, if at least one of the boxes must be empty?

 Dec 23, 2022
 #1
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Here is my attempt:

 

[10  +  8  -  1] C  [8  -  1] == 17 C 7 ==19,448 - number of ways including the count of empty boxes.

 Dec 23, 2022

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