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How many ways can you distribute 4 identical balls among 4 identical boxes?

 

I'm stuck on this one

 Aug 5, 2020
 #1
avatar+37 
+1

4-0-0-0

3-1-0-0

2-2-0-0

2-1-1-0

1-1-1-1

 

We don't need things like 0-0-3-1, 0-0-2-2 etc. because they're identical and would be the same thing.

 

So there are only 5 cases. 

 

Hope that helps and please correct me if I'm wrong 

 Aug 5, 2020
edited by taeijr  Aug 5, 2020
 #2
avatar+1130 
+3

We have (4+1)!/4!=5 so we have 5 ways to distribute 4 identical balls among 4 identical boxes

 Aug 6, 2020

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