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How many ways are there to put 4 distinguishable balls into \(3\) indistinguishable boxes?

 Jan 22, 2022
 #1
avatar+360 
+1

for the first box, 4 choices

for the second box, 3 choices

for the third box, 2 choices

4*3*2=24

 Jan 22, 2022
 #2
avatar+117100 
+1

How many ways are there to put 4 distinguishable balls into 3 indistinguishable boxes?

 

can the boxes be empty.  I will asume they can

Everything is indsitinguishable so...

 

4,0,0

3,1,0

2,2,0

2,1,1

that is it.    4 ways.

 Jan 22, 2022

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