Question

A textbook search committee is considering 13 books for possible adoption. The committee has decided to select 3 of the 13 for further consideration. In how many ways can it do​ so?

11.8 #8

Answer 1

Number of ways in which the 3 can be selected from 13 = 286

Explanation:

Step 1:

Number of books considered by the textbook search committee = 13

Number of books selected from this 13 = 3

We need to determine number of ways in which the 3 can be selected from the 13

Step 2 :

The order of the 3 books selected does not matter. So,

Number of ways in which the 3 books can be selected from 13 books = C(13,3) =
`(13!)/(10! . 3!)`

=
`( 13 . 12 .11 . 10!)/(10! . 3! )`

=
`(1716)/(6)` = 286

Step 3 :

Answer :

Number of ways in which the 3 can be selected from 13 = 286