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How many ways are there to put 4 balls in 3 boxes if the balls are not distinguishable but the boxes are?

 

Greatly appreciated, MathE

 Oct 21, 2018

Best Answer 

 #1
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\(n \text{ identical objects can be placed into }r \text{ distinguishable boxes in }\\ N=\dbinom{n+r-1}{r-1} \text{ ways}\\ \text{In this problem }n=4,~r=3\\ N=\dbinom{6}{2}=15 \text{ ways}\)

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 Oct 21, 2018
 #1
avatar+4402 
+3
Best Answer

\(n \text{ identical objects can be placed into }r \text{ distinguishable boxes in }\\ N=\dbinom{n+r-1}{r-1} \text{ ways}\\ \text{In this problem }n=4,~r=3\\ N=\dbinom{6}{2}=15 \text{ ways}\)

Rom Oct 21, 2018

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