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    Question

    A team of 6 members is to be formed from a group of 8

    boys and 5 girls. Find the number of ways to form team such that the team consists of at most 2 girls.
    A 1008 Correct Answer Incorrect Answer
    B 1100 Correct Answer Incorrect Answer
    C 980 Correct Answer Incorrect Answer
    D 1056 Correct Answer Incorrect Answer

    Solution

    Required number of ways = 5C2 × 8C4 + 5C1 × 8C5 + 8C6
    = 10 × 70 + 5 × 56 + 28
    = 700 + 280 + 28 = 1008

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