排列與組合問題

2010-11-10 2:17 am
先謝!!

A computer science society has 50 members

1.How many ways are there to choose four members of the society to serve on an executive committee?

2.How many ways are there to choose a chairman, vice chairman secretary, and treasurer of society?(Assuming that the first selected person will serve as chairman, the second, third and fourth selected persons will serve as vice chairman, secretary, and treasurer respectively
更新1:

打漏了逗號,已修正 2.How many ways are there to choose a chairman, vice chairman, secretary, and treasurer of society?

回答 (1)

2010-11-10 2:35 am
✔ 最佳答案
1)50C4 = 50 * 49 * 48 * 47 / 4! = 230300 ways2)50P4 = 50 * 49 * 48 * 47 = 5527200 ways.

1st Chairman , 50 choices
2nd Vice chairman , 49 choices
3rd Secretary , 48 choices
4th Treasurer of society , 47 choices.



收錄日期: 2021-04-21 22:19:41
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