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