engineering mathematics MCQ #3970

A committee of 5 is to be formed from 6 men and 4 women. In how many ways can this be done if at least 2 women are included?

engineering mathematics MCQ #3970

  1. Question 1

    Q1. A committee of 5 is to be formed from 6 men and 4 women. In how many ways can this be done if at least 2 women are included?

    • A) 6C3 * 4C2 + 6C2 * 4C3 + 6C1 * 4C4
    • B) 4C2 * 6C3 + 4C3 * 6C2 + 4C4 * 6C1
    • C) Both A and B
    • D) 10C5 - (4C0 * 6C5 + 4C1 * 6C4)

    Answer: Both A and B

    Explanation: Count committees with 2, 3, or 4 women and corresponding men, or use the complementary counting principle.