Question

A board of directors consists of 10 people, in how many ways can a chief executive officer, director, a treasurer, and a secretary be selected?

Answer 1

The correct answer to the following question will be "5040".

Explanation:

Given:

The number of directors,

n = 10

and they select on 4 peoples, then

Number of ways will be:

⇒
`10_(P)_(4)`

⇒
`(10!)/(10-4!)`

⇒
`(10!)/(6!)`

⇒
`(10* 9* 8* 7* 6* 5* 4* 3* 2* 1!)/(6* 5* 4* 3* 2* 1!)`

⇒
`5040`