Problema Solution
The coach of a soccer team is holding tryouts and can take only 3 more players for the team. There are 6 players trying out. How many different groups of 3 players could possibly be chosen?
Answer provided by our tutors
Since the order of the selected players is not important here we are dealing with 3-combinations of a set of 6 elements:
C(6 ,3) = 6!/(3!(6-3)!)
C(6, 3) = 20
There are 20 different groups of 3 players.