Chapter 13, Problem 3PT

To determine

Find the possible batting orders for the 9 players.

Answer to Problem 3PT

  $362,880$

Explanation of Solution

Given:

A baseball team fields 9 players.

Formula Used:

  $P{}_r=\frac{n!}{(n-r)!}$

Calculation:

Since the order of arrangement matters here, we find the permutation :

  $P{}_9=\frac{9!}{(9-9)!}=\frac{9!}{0!}=9!=362,880$

So, there are possible $362,880$ batting orders.