Quandaries and Queries
 

 

Question:
How many ways to distribute r identical balls into n distinct boxes with exactly m boxes empty?
 

 

Hi,

Here's a start on the problem. Pick the boxes to be empty first; nCm ways. Place a ball in each of the other n-m boxes. Now you have to distribute the remaining r-n+m balls into these n-m boxes with no restriction on 'being empty'.

Penny

 
 

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