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