Question

Suppose you are managing 16 employees, and you need to form three teams to work on different projects. Assume that all employees will work on a team, and that each employee has the same qualifications/skills so that everyone has the same probability of getting choosen. In how many different ways can the teams be chosen so that the number of employees on each project are as follows:

7, 1, 8

Answer 1

16! / (7! * 1! * 8!)

Answer 2

16C8 * 8C7