简答题
GRE
2012-10-18
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?
参考答案
暂无
答案解析
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．
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．
