Question

A school committee needs 2 more students. How many ways can the committee be selected from a group of 10 students? 45 90 20 100

Answer 1

45

Explanation:

got it right on test

Answer 2

45 ways

Explanation:

The number of ways the committee of 2 can be selected from a group of 10 may be found using the combination theory.

10 C 2

Recall that n C r = n!/(n-r)!r!

Hence

10 C 2 = 10!/(10 -2)!2!

= 10!/8!*2!

= 10 *9 *8!/8!* 2!

= 10 *9/2 * 1

= 90/2

= 45