1. Combinations
COURSE 3 LESSON 11-3
How many groups of two can be formed from a committee of six members?
Use the letters A, B, C, D, E, F to represent the six possible members.
Step 1 Make an organized list of all the possible combinations of members.
AB AC AD AE AF
BA BC BD BE BF
CA CB CD CE CF
DA DB DC DE DF
EA EB EC ED EF
FA FB FC FD FE
11-3

2. Combinations (continued)
COURSE 3 LESSON 11-3
Combinations
(continued)
Step 2 Cross out any group that is a duplicate of another.
AB AC AD AE AF
BA BC BD BE BF
CA CB CD CE CF
DA DB DC DE DF
EA EB EC ED EF
FA FB FC FD FE
Step 3 Count the number of groups that remain.
There are 15 different ways to form a group of two members.
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