Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Permutation

Question:

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?

Options:

25

147

150

600

Correct Answer:

150

Explanation:

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