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 that do not include Mark?

Answer 1

504 committees

Explanation:

In this scenario, there are 9 choices to choose the first person (not 10 because the committee should not include Mark), 8 choices for the second person and 7 choices for the last person so the answer is 9 * 8 * 7 = 504.