Glencoe Math: Course 2, Volume 2
GM
Glencoe Math: Course 2, Volume 2 View details
6. Permutations
Continue to next subchapter

Exercise 13 Page 770

Since the pitcher should be the last one to bat, we arrange the order of the first batters from 9-1=8 players.

C

Practice makes perfect

There are 9 players that should bat and the pitcher is supposed to be the last one. Therefore, we arrange the other batters from 8 players. We have 8 choices for the first batter, 8-1= 7 choices for the second batter, and so on.

First Batter Second Batter Last Batter
8 8-1= 7 8-7=1

Now, we will use the Fundamental Counting Principle to find the answer. In this case, the number of ways to arrange these players is the product of these numbers of choices. 8 * (8-1) * (8-2)* (8-3) *(8-4)*(8-5)*(8-6)* (8-7) = 8 * 7 * 6* 5* 4*3*2* 1 Now, let's calculate this product. 8 * 7 * 6* 5* 4*3*2*1 = 40 320 Therefore, answer C is correct.