I don't understand................
Answer: Can't see that well but... What does the line connecting to D say?
Answer:
1,816,214,400 batting orders are possible.
Step-by-step explanation:
The order is important.
Suppose we had a two player batting order.
A batting order of Jonathan Schoop and Manny Machado is a different order than Manny Machado and Jonathan Schoop. So we use the permutations formula.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
![P_{(n,x)} = \frac{n!}{(n-x)!)}](https://tex.z-dn.net/?f=P_%7B%28n%2Cx%29%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-x%29%21%29%7D)
A baseball coach is creating a nine-player batting order by selecting from a team of 15 players. How many different batting orders are possible?
Selection of 9 players from a set of 15 players. So
![P_{15,9} = \frac{15!}{(15-9)!} = \frac{15!}{6!} = 1816214400](https://tex.z-dn.net/?f=P_%7B15%2C9%7D%20%3D%20%5Cfrac%7B15%21%7D%7B%2815-9%29%21%7D%20%3D%20%5Cfrac%7B15%21%7D%7B6%21%7D%20%3D%201816214400)
1,816,214,400 batting orders are possible.