how many different batting orders can be formed for a five-member baseball team?

Answer 1

It is a Factorial, the product of an integer and all those below it.

So, given that you have a five-person team and are looking for batting orders, you will take the factorial of 5.

Factorials use the exclamation mark (!) to identify the factorial. So, it would look like this 5!

5! = 5*4*3*2*1 = 120