The coach will select 14 players to play in the next game and the freshmen will not be included. If the order of the players being picked is not a concern, how many different groupings of players

Question

are possible?

Sophomore: 7

Junior: 5

Senior: 10

Freshman (not needed in problem): 3

Answer options: I got 319,770

A. 21,318

B. 319,770

C. 2,238,390

D. 368,375,040

Answer 1

I agree with 319,770. As order is not important, it's a combination problem, not a permutation. Without freshmen there are 22 to choose from to get the 14 players.

22C14 = 319770.