SOLUTION: A class contains 9 boys and 3 girls. In how many ways can a committee of 4 students be formed if the committee must contain at least one girl?

Question 1092067: A class contains 9 boys and 3 girls. In how many ways can a committee of 4 students be formed if the committee must contain at least one girl?
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

The total number of ways of forming a committee of 4 from 12 students is "12 choose 4", which is

The number of ways of forming the committee with only boys is "9 choose 4",

So the number of ways of forming the committee with at least one girl is 495-126=369.

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