In how many ways can a commitiee of 7 members be selected from 6 men and 5 women consisting of 4 men and 3 women?
Answer & explanation
Correct answer: option 3
To select a committee of 4 men and 3 women:
The number of ways to choose 4 men from 6 is given by the combination formula: C(6, 4) = 6! / (4! * (6 - 4)!) = 15
Similarly, the number of ways to choose 3 women from 5 is given by C(5, 3) = 5! / (3! * (5 - 3)!) = 10
To get the total number of ways, we multiply these two values together: 15*10
The correct answer is Option (3) → 150