Question

How many ways can Sam hang 14 different shirts in his closet?

Answer 1

`\large\boxed{87,178,291,200}`

Explanation:

In this question, we would need to find out how many ways Sam can hang 14 different shirts in his closet.

We know that:

• He has 14 different shirts

In order to find how many ways he can hang them, we would represent this as 14!

The "!" represents all the existing numbers before it. Therefore it would be numbers like 13, 12, 11, 10, etc.

Each of the numbers would be multiplying.

`14! = 14*13*12*11*10*9*8*7*6*5*4*3*2*1`

You would just multiply them to get your answer.

`14! = 14*13*12*11*10*9*8*7*6*5*4*3*2*1\\\\14! = 87,178,291,200`

This means that Sam can hang his shirts 87,178,291,200 different ways.

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!