SOLUTION: In how many ways can a committee of six people be chosen from 4 men and 7 women if at least 4 women must be on the committee and Carlo (one of the seven women) must be on the commi

Question 865774: In how many ways can a committee of six people be chosen from 4 men and 7 women if at least 4 women must be on the committee and Carlo (one of the seven women) must be on the committee
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Since Carlo must be on the committee in reality we have a committee of 5 people with 4 men and six women and at least 3 women must be on it.
Five women: 6C5 = 6
4 w + 1 m : 6C4 * 4C1 = 15*4 = 60
3 w + 2 m : 6C3 * 4C2 = 20*6 = 120
.
6+60+120=186 ways
.
Ed

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