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    Question

    A group consists of 11 boys and 9 girls. In how many

    ways can 7 boys and 5 girls be selected from the group?
    A 41580 Correct Answer Incorrect Answer
    B 41780 Correct Answer Incorrect Answer
    C 41880 Correct Answer Incorrect Answer
    D 41980 Correct Answer Incorrect Answer

    Solution

    Required number of ways = 11 C 7 Γ— 9 C 5
    = (11! / (7! Γ— 4!)) Γ— (9! / (5! Γ— 4!))
    = 330 Γ— 126 = 41,580

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