Question

A coach needs to select 7 starters from a team of 16 players. How many ways can he arrange the team?

DO NOT PUT COMMAS IN YOUR ANSWER!

Answer 1

The number of ways to select 7 players out of 16 is given by the combination formula:

C(16,7) = 16! / (7! * (16-7)!) = 11440

Once the coach has selected the 7 players, the order in which they are arranged does not matter. Therefore, the number of ways to arrange the team is simply the number of ways to select 7 players:

11440 ways.