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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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