# Statistics

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A raffle is being conducted with 50 tickets to be sold - one per customer.
There are three prizes to be awarded.
If the four organizers of the raffle each buy one ticket, what is the probability that the four organizers win:

a) all of the prizes?
b) exactly two of the prizes
c) exactly one of the prizes
d) none of the prizes

This is at the end of a chapter on counting combinations/permutations

• Statistics -
• Statistics -

I know the fundamental formulas and their derivations really well. This problem demands a more complicated application that I'm struggling with...

• Statistics -

all of the prizes:

4/50*3/49*2/48*1/47

Two of the prizes:
4/50*3/49*46/48*45/47

See the pattern?

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