GRE

简答题 A play has two roles for men and four rolesfor women．If five men and12 women try out for theseparts，in how many different ways can thedirector choosepeople for the roles?

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E．
The first male rolecan be filled by any of the five men，and the second byany of the remaining 4，for a total of 5 times 4=20choices．Similarly，there are 120ptions for the first female role，11 for the next，10 for the third，and 9 for the last．The total number of possibilities is thus 5 times 4 times 12 times11 times 10 times 9=237．600．

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