engineering mathematics MCQ #3987

A committee of 5 is to be formed from 6 men and 4 women. How many ways can this be done if it must contain at least 2 women?

engineering mathematics MCQ #3987

  1. Question 1

    Q1. A committee of 5 is to be formed from 6 men and 4 women. How many ways can this be done if it must contain at least 2 women?

    • A) 180
    • B) 186
    • C) 210
    • D) 216

    Answer: 186

    Explanation: Using combination formula, C(4,2)*C(6,3) + C(4,3)*C(6,2) + C(4,4)*C(6,1) = 186. Applying principle of inclusion.