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

Question

Mathematics

Alejandro Levy

20 February, 06:14

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

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Answers (1)

Know the Answer?

Lacey Rogers · Answer 1

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