Question

How many different nine player batting orders can be chosen from a baseball team of 16?

Answer 1

This problem is basically
`_(16)P_9`


`_nP_r = (n!)/((n - r)!)`

If I plug in n = 16 and r = 9


`(16!)/((16-9)!) = (16!)/(7!) = 4151347200`

So there are 4151347200 different nine player batting orders that can be chosen from a baseball team of 16 :)