Answer
Sample answer:
"A committee of five students, out of a class with ten female and seven male students, must be formed so that there will be 3 female and 2 male students on the committee. How many
different committees can be formed?"
Work Step by Step
We need a problem with a sequence of selections:
1. Selection of several items from the first group
2. Selection of several items from the second group
Each individual selection needs the combination formula,
and
the sequence involves applying the Fundamental Counting Principle
Sample answer:
"A committee of five students, out of a class with ten female and seven male students, must be formed so that there will be 3 female and 2 male students on the committee. How many
different committees can be formed?"
(Step 1: choosing female members ... in ${}_{10}C_{3}$ ways
Step 2: choosing male members ... in ${}_{7}C_{2}$ ways,
By FCP, total = ${}_{10}C_{3}\cdot {}_{7}C_{2}$ ways)
