Question

The principal would like to assemble a committee of 7 students from the the 11 member student council. How many different committees can be chosen?

Answer 1

The principal would like to assemble a committee

of 8 students from the 15-member student council.

How many different committees can be chosen?

1) 120 2) 6,435 3)

Explanation:

The principal would like to assemble a committee

of 8 students from the 15-member student council.

How many different committees can be chosen?

1) 120 2) 6,435 3)

Answer 2

Explanation:

Remark

This problem only wants to know how many ways to select 7 starting from a base of 11.

Nothing else matters. Not grades, not gender, not age, not qualifications, not order -- nothing. Just 7 out of 11.

That problem is a combination and is written as

(11)/(7)

The formula used is

11! / (7! (11 - 7)! )

11! /( 7! 4!) = 11 * 10 * 9 * 8 * 7! / (7! * 4!) The 7! s cancel out

11 * 10 * 9 * 8 / 4 * 3 * 2 * 1 = 330