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

 Apr 7, 2020
 #1
avatar+932 
+1

Since the balls are the same and the boxes are the same, the problem is basically how many ways can you get a sum of 4.

1+1+1+1

1+1+2

2+2

3+1

4

I get 5 ways.

 Apr 7, 2020
 #2
avatar+4569 
+1

Four(4) Identical balls and Four(4) identical boxes mean that the balls are indistinguishable and the boxes are also indistinguishable...

Since there is no restriction, let's try number separation.

 

 

1+1+1+1

1+1+2+0

2+2+0+0

1+3+0+0

4+0+0+0

 

Five(5) ways are possilbe.

 Apr 7, 2020
 #3
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Thank you!

 Apr 7, 2020

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