Question

You own 6 hats and are taking 4 on vacation. In how many ways can you choose 4 hats from the 6?

A. 15

B. 360

C. 1

D. 720

Answer 1

your answer is A. 15

Answer 2

Option B is the answer.

Explanation:

I own 6 hats and i am taking 4 hats on vacations.

I have to find the number of ways that I can choose 4 hats out of 6.

In this question we will apply the combination rule.

So by combination rule number of ways to choose hats will be
`^(6)C_(4)`

`^(6)C_(4)=(6!)/((6-4)!(4)!)`

`=(6* 5* 4!)/(2!* 4!)`

`=(30)/(2)`

=15

Therefore, option A. 15 will be the answer.