Answer:
The number of ways are 40320.
Step-by-step 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: [tex]^{n}P_{n}[/tex]
Substitute n=8 and simplify.
[tex]^8P_8=\frac{8!}{(8-8)!}\\8!=40320[/tex]
Hence, the number of ways are 40320.