Given the question:
The manager of a baseball team has 15 players to choose from for his
9-person batting order. How many different ways can he arrange the
players in the lineup?
5,005
362,880
3,603,600
1,816,214,400
The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
![^nC_r= \frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=%5EnC_r%3D%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D)
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
I hope this helped you on your problem
Answer:
I think its y=8x-7
Step-by-step explanation:
Pls tell me if i'm wrong.
The model is p(x) = 75,000 ∛(x - 1940)
Now use p(x) = 245,000 and solve for x
245,000 = 75,000 ∛(x - 1940) =
245,000 / 75,000 = ∛(x - 1940)
49/15 = ∛(x - 1940)
x - 1940 = [49/15]^3 = 34.86
x = 1940 + 34.86 = 1974.85
Then, the answer is 1975 (option b)