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LuckyWell [14K]
3 years ago
11

There are ten candidates for a job. The search committee will choose three of them, and rank the chosen three from strongest to

weakest. How many different outcomes are possible
Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Answer:

720

Step-by-step explanation:

Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).

 

 P(10,3)=10! / (10-3)!

= 10!/7!

Rewrite  10 !  as  

10 * 9  * 8  * 7 !  / 7!

Cancel the common factor of  7 !  and divide ( 10  * 9 * 8 ) by  1

10  * 9  * 8 = 720

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