Question

Explore has 24 chess players. A team of 6 players as well as 1 captain will be chosen out of the 24 chess players (i.e. choose 7 players and then select the captain). How many different selections can be made?

Answer 1

Answer:

2,422,728

Step-by-step explanation:

24 ways to choose a captain

Then 23! / (17! x 6!) ways to chose a six-person team.

So the solution is 24 x 23! / (17! x 6!) = 2,422,728.

Or choose a seven person team first, then choose a captain

24! / (17! x 7!) x 7 = 2,422,728.