permutations and combinations

Question

A high school basketball coach has 14 players to choose from for her starting lineup. Assume each player can play each position. How many ways can the coach choose the five players.

Answer 1

Because the order of the players doesn't matter, this would be a combination. This uses this formula:

C(n,r)=(nr)=n!(r!(n−r)!)

C(n,r)=C(14,5)

14!(5!(14−5)!) = 2002