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    Question

    In a group of 8 boys and 5 girls, 5 students have to be

    selected. In how many ways it can be done so that only 2 boys are included.
    A 220 Correct Answer Incorrect Answer
    B 260 Correct Answer Incorrect Answer
    C 240 Correct Answer Incorrect Answer
    D 280 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    => 8C2 × 5C3 = [8!/(8 -2)! 2!] × [5!/(5 -3)! 3!] => [8!/6! 2!] × [5!/2! 3!] => 280 ways

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