a baseball team has 13 players; how many possible batting orders can the coach make if there are 9 players in the batting lineup ?
A. 514,874
B. 235,368
C. 259,459,200
D. 879,523

Respuesta :

doi
B. 235,368 is the answer.
The answer to this question would be: C. 259,459,200 
To answer this question, you will need to understand how to use permutation in probability. In this question, there will be 9 people out of 13 people that make an order for batting. In this case, if same people used but the batting order is different that could be considered different ways. Then the answer would be: P(13,9)= 13! / (13-9)!= 13!/4!= 259,459,200