Question

A club of 10 people wants to choose an executive board consisting of president, secretary, treasurer, and three other officers. In how many ways can this be done

Answer 1

The number of ways = 151200

Explanation:

Below is the calculation of the number of ways:

Total number of people = 10

Total number of posts = 6

The number of ways = 10P6

The number of ways =
`(10!)/(10! - 6!)`

The number of ways = 10 x 9 x 8 x 7 x 6 x 5

The number of ways = 151200