Question

Our club has 10 members, and we need to appoint a president, a vice president, and a secretary. How many ways can we do this if: Each member can hold at most one office. Members can hole any number of offices

Answer 1

Answer: 720

Explanation:

Given

A club has 10 members and needs one president, a vice president, and a secretary

There are 10 positions for president i.e. 10 ways to select a member for it

Similarly, there 9 persons left to choose a position for vice president

likewise 8 persons for secretary

Total no of ways to do it are

`\Rightarrow 10* 9* 8\\\Rightarrow 720\ \text{ways}`