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
We need to find the number 3-element subsets of a set with 5 element.
Let {A, B, C, D, E} represent the set of all the members.
We will list all the 3-element subsets of the given set:
A, B, C
A, B, D
A, B, E
A, C, D
A, C, E
A, D, E
B, C, D
B, C, E
B, D, E
C, D, E
Since there are 10 different subsets with 3 elements follows there 10 different 3-memeber groups possible.