#### Question

A student dance committee is to be formed consisting of 2 boys and 3 girls. If the membership is to be chosen from 4 boys and 8 girls, how many different committees are possible?

#### Solutions

VerifiedSolution A

Solution B

#### Step 1

1 of 4We can separate the problem into two situations:

- Choosing boys ($C(4,2)$)
- Choosing girls ($C(8,3)$)

#### Step 1

1 of 5In forming committees from two different groups, we can use the **combination and the multiplication principle of counting** to determine the possible ways of forming these committees.

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