Ariel wants to choose 5 plavers for her basketball team. There are 7 players to choose from. How many different teams can Ariel make?

Answer 1

To solve this problem, we can use the formula for combinations:

nCr = n! / r! (n - r)!

where n is the total number of players (7) and r is the number of players we want to choose for the team (5).

So we can plug in the numbers and simplify:

7C5 = 7! / 5! (7 - 5)!
= (7 x 6 x 5 x 4 x 3) / (5 x 4 x 3 x 2 x 1) (2 x 1)
= 21

Therefore, Ariel can make 21 different teams.