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The number of ways we can put 5 different balls in 5 different boxes such that at most three boxes is empty, is equal to

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a
55 – 5
b
55 – 10
c
22 – 2
d
none of these

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detailed solution

Correct option is A

The number of ways of putting all the balls in exactly one box = 5As for each ball there are 5 choices for the box, the number of ways of putting balls in the boxes = 55Thus, the required number of ways of putting the balls in the boxes  = 55 – 5


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