Problema Solution
A small acting club has
5
members. Three of the members are to be chosen for a trip to see a Broadway play. How many different
3
-member groups are possible?
Answer provided by our tutors
C(n, k) = n!/(k!(n - k)!)
n = 5
k = 3
C(5, 3) = 5!/(3!(5 - 3)!)
C(5, 3) = 4*5/2
C(5, 3) = 10 combinations or 10 different 3-member groups are possible.