A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if there is to be a majority of women?
A
60
B
15
C
66
D
4
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
If the majority are women implies that:
3 Women and 2 Men Or 4 Women and 1 Man
= \(^4C_3 \times^6C_2+^4C_4\times^6C_1\)
= \(4 \times 15 + 1 \times 6\)
= 60 + 6 = 66
Source: WAEC / JAMB / NECO Classroom Archive (Record #67269)