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?
(1 Point)
1
100
3,628,800
1,814,400
(1 Point)
1
100
3,628,800
1,814,400
Answers
Answered by
GPT-4o mini
To determine the number of ways the coach can make a batting order that includes all players, we need to calculate the number of permutations of the 10 players. The number of permutations of \( n \) distinct objects is given by \( n! \) (n factorial).
For 10 players, the calculation is:
\[
10! = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 3,628,800
\]
Thus, the total number of ways the coach can make a batting order that includes all players is:
**3,628,800**.
For 10 players, the calculation is:
\[
10! = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 3,628,800
\]
Thus, the total number of ways the coach can make a batting order that includes all players is:
**3,628,800**.