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

Question

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] · Answer 1 · 2022-02-23T13:57:43+03:00

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