Question

There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possible committees can be formed?

Answer 1

Answer: 120 ways

Explanation:

Number of people in baking club = 10

Number of people who make up an executive committee = 3

Number of committees which can be formed :

This is a combination problem:

nCr = n! / (n-r)! r!

n = 10 ; r = 3

10C3 = 10! / (10 - 3)! 3!

= 10! / 7! 3!

= ( 10 * 9 * 8) / 3 * 2 * 1

= 720 / 6

= 120 ways