how many different ways can a president ,vice president ,secretary , and treasury secretary be chosen from a club with 10 members?

2017-10-03 1:39 am

回答 (1)

2017-10-03 1:50 am
✔ 最佳答案
Method 1 :

Firstly, select a president from the 10 members.
Secondly, select a vice president from the rest 9 members.
Thirdly, select a secretary from the rest 8 members.
Fourthly, select a treasury secretary from the rest 9 members.

Number of ways
= 10 × 9 × 8 × 7
= 5040


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Method 2 :

Number of ways to select 4 positions from 10 members
= P(10, 4)
= 10! / 6!
= 5040


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