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How many ways are there to put 5 balls in 2 boxes if the balls are distinguishable and the boxes are distinguishable?

 Jun 24, 2019
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When we have  k  distinguishable  balls   and  n  distinguishable boxes....and assuming that either box might be empty....then the number of ways to distribute the balls is given by :

 

nk  =  (2)5  =    32 ways

 

When you think about it....if we looked at only Box1, each consignment of balls in this box would just be a subset of the number of total subsets formed by  5 objects in a set  = 25

 

 

cool cool cool

 Jun 24, 2019
edited by CPhill  Jun 24, 2019

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