📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    From a group of 8 girls and 7 boys, a committee of 9 is

    to be formed. In how many ways can the committee be formed if it must include at least 6 girls?
    A 1080 Correct Answer Incorrect Answer
    B 1100 Correct Answer Incorrect Answer
    C 1125 Correct Answer Incorrect Answer
    D 1155 Correct Answer Incorrect Answer

    Solution

    Case I: 6 girls and 3 boys
    Number of ways = 8C6 × 7C3 = 28 × 35 = 980 ways
    Case II: 7 girls and 2 boys
    Number of ways = 8C7 × 7C2 = 8 × 21 = 168 ways
    Case III: 8 girls and 1 boy
    Number of ways = 8C8 × 7C1 = 1 × 7 = 7 ways
    Total number of ways = 980 + 168 + 7 = 1155 ways

    Practice Next
    More Permutation and combination Questions

    Relevant for Exams:

    ask-question