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

 Jan 31, 2022
 #1
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Casework!

 

1) Put all 4 balls into 1 box - 2 ways

2) Put 3 balls into 1 box, 1 ball into other box - 8 ways

3) Put 2 balls in both boxes - 12 ways

 

Total = 2 + 8 + 12 = 22.

 Jan 31, 2022

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