Question

Mrs. Smith will select a president, vice-president, and secretary from a committee of 10 members. In how many different ways can a president and a vice-president be chosen from the committee?

Answer 1

Answer: These must be different members For example: President cannot also be the Secretary.

(15 different ways.)

Explanation:

10 · 9 · 8 · 7 = 10!

(10−4)! = P10,4 = 5040.