We are giving $m$ prizes to $n$ people at lottery...
Question A:
What is the probability that no one will get more then one prize (assume that $n\ge m$).
Question B:
What is the probability the all of the $n$ people will get at least one prize? (assume that $m\ge n$).
As I understand it, At the first question we have to use at the "Inclusion–exclusion principle". I'm right? (I know that we have to use the "Inclusion–exclusion principle" at one of the questions [it's the hint])
I'll be glad if you will help me to solve it...
Thank you so much!