A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are p

A majority of women in a 5-person committee means at least 3 women. The possible combinations are 3 women with 2 men, or 4 women with 1 man. Calculate each case separately using combinations.

For 3 women from 4 and 2 men from 6: C(4,3) × C(6,2) equals 4 × 15 equals 60 committees. For 4 women from 4 and 1 man from 6: C(4,4) × C(6,1) equals 1 × 6 equals 6 committees.

Add both cases together: 60 plus 6 equals 66 total committees. These are all the possible ways to form a committee where women outnumber men.