A corporation has ten members on its board of directors 1 In

A corporation has ten members on its board of directors.

1) In how many ways can it elect a CEO, president, vice-president, secretary and treasurer from these ten members?

2) In how many ways can it elect a five-person committee from these ten members?

Solution

From the ten members of the board of directors the corporation can elect a CEO, president, vice-president, secretary and treasurer in:

10P5=10!/(10-5)!=30240 ways