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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