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

Answer:

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

Step-by-step explanation:

Given:

The number of directors,

n = 10

and they select on 4 peoples, then

Number of ways will be:

⇒  $10_{P}_{4}$

⇒  $\frac{10!}{10-4!}$

⇒  $\frac{10!}{6!}$

⇒  $\frac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1!}{6\times 5\times 4\times 3\times 2\times 1!}$

⇒  $5040$