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    Question

    Out of three girls and five boys, five children are to

    be randomly selected for a dance programme. What is the probability that all the selected children are boys?
    A 1/56 Correct Answer Incorrect Answer
    B 1/5 Correct Answer Incorrect Answer
    C 5/36 Correct Answer Incorrect Answer
    D 2/28 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The probability that all the selected children are boys = 5C5 / 8C5 =1/ 8!/(5! ×3!) = 1/56

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