Question

12. Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets. How many ways can the eight cookbooks be arranged on the shelf?

Answer 1

The number of ways are 40320.

Explanation:

Consider the provided information.

Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets.

We need to determine the number of different ways to put eight cookbooks on the shelf.

We need to select 8 cookbooks taking 8 at a time.

So use the permutation formula:
`^(n)P_(n)`

Substitute n=8 and simplify.

`^8P_8=(8!)/((8-8)!)\\8!=40320`

Hence, the number of ways are 40320.