Question

    From a group of 7 men and 4 women, in how many ways can

    a committee of 4 be formed such that it includes at least one woman?
    A 180 Correct Answer Incorrect Answer
    B 195 Correct Answer Incorrect Answer
    C 295 Correct Answer Incorrect Answer
    D 265 Correct Answer Incorrect Answer

    Solution

    The group consists of 7 men and 4 women, totaling 7+4=11 people. We need to form a committee of 4 people such that it includes at least one woman. The total number of ways to form a committee of 4 from 11 people without any restrictions is given by the combination formula:

    Practice Next

    Relevant for Exams: