SOLUTION: Five prizes are to be given to five different people in a group of thirteen. In how many ways can a first prize, a second prize, a third prize and two fourth prizes be given? I

Question 1135127: Five prizes are to be given to five different people in a group of thirteen. In how many ways can a first prize, a second prize, a third prize and two fourth prizes be given?
I got as far as (13) (12) (11) (10X2) and got the question wrong
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The first three are fine. There are then 10 people left, two of whom will win the same prize. This has 10C2 or 45 ways of happening, so that is the fourth term
13*12*11*45=77220
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