SOLUTION: There are nine finalists in a certain competition.In how many ways can the judges choose four of them to be awarded with prize if a)there are first prize,second prize,third prize

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Question 406776: There are nine finalists in a certain competition.In how many ways can the judges choose four of them to be awarded with prize if
a)there are first prize,second prize,third prize and fourth prize,
b)there are two first prizes and two second prizes
c)there are first prize and three second prizes
Answer by stanbon(75887) About Me  (Show Source):
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There are nine finalists in a certain competition.In how many ways can the judges choose four of them to be awarded with prize if
a)there are first prize,second prize,third prize and fourth prize,
Ans: 9P4 = 9*8*7*6*5
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b)there are two first prizes and two second prizes
9C2*7C2 = (9*8/1*2)(7*6/1*2)
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c)there are first prize and three second prizes
Ans: 9*8C3 = 9*8*7*6/1*2*3 = 9*8*7
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Cheers,
Stan H.
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