Question

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

Answer 1

The number of ways in which Sarah's coach can make a batting order that includes all players is:

• 3628800

Explanation:

To identify the total number of orders that can be applied to a certain group of objects or individuals, the factorial number is usually used, which is represented by an exclamation point (!), as I will present you below with the 10 players in the softball team:

• 10! = 3628800

The factorial number represents, in addition to the total number of orders, the multiplication of all natural numbers less than and equal to the number used, therefore 10! It could be represented in the following way:

• 10! = 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 = 3628800