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How many ways are there to put 4 distinguishable balls into 2 indistinguishable boxes?

 May 29, 2021
 #2
avatar+1815 
+1

How many ways are there to split these 4 balls into 2 groups?

Each ball has 2 options, 2^4. 

2 groups are interchangable. 2^4/2 = 8. 

 

=^._.^=

 May 29, 2021
 #3
avatar+113626 
+3

How many ways are there to put 4 distinguishable balls into 2 indistinguishable boxes?

 

This is homework, as are almost all questions, so I will just give you a hint:

 

the boxes could hold

(0,4) (1,3) or (2,2)  balls

 

You could look at each of these possibilities separately.

 May 30, 2021
edited by Melody  May 30, 2021
edited by Melody  May 30, 2021

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