(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There are 5 girls and 2 boys. A committee of 3 members is to be formed such that there is at least one boy in the committee. Find the number of ways of doing so.

3. The attempt at a solution

One place is fixed for a boy. So choosing one boy out of 2: 2C1

I am left with 2 places and 6(5 girls+1 boy left) people to choose from, therefore number of ways = 6C2

Total ways= 6C2 *2C1

=30

But my book gives me the answer 25. What is wrong with my solution???????? :yuck:

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# Homework Help: P & c

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