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    Question

    A group consists of 7 boys and 12 girls. In how many

    ways can 3 boys and 5 girls be selected from the group?
    A 27720 Correct Answer Incorrect Answer
    B 27920 Correct Answer Incorrect Answer
    C 28020 Correct Answer Incorrect Answer
    D 28120 Correct Answer Incorrect Answer

    Solution

    Required number of ways = 7 C 3 × 12 C 5
    = (7! / (3! × 4!)) × (12! / (5! × 7!))
    = 35 × 792 = 27,720

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