Question

If n distinct objects are distributed randomly into n distinct boxes, what is the probability that:

Exactly two boxes are empty?

Answer 1

Answer:-

For every object we have n choices of boxes :

hence total number of ways to distribute = nn

Now, we select 2 boxes which are to be empty , it can be donein ways.

Now every object has (n-2) choices of boxes.

hence total number of ways to distribute =

Therefore probability =

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