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.