Multiple Choice Questions on From a group of 4 men 5 women and 3 children 4 people are to be chosen to form a committee What is t........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

From a group of 4 men 5 women and 3 children 4 people are to be chosen to form a committee What is t...........

Quantitative Aptitude ( CCS) Probability
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    From a group of 4 men, 5 women and 3 children, 4 people are to be chosen to form a committee. What is the probability that the committee contains at least 1 each of men, women and children?

    16/21
    Incorrect Answer
    6/11
    Correct Answer
    10/11
    Incorrect Answer

    7/11

    Incorrect Answer
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    Explanation:

    No of ways 2M+1W+1C or 1M+2W+1C or 1M+1W+2C
    P=(4C2*5C1*3C1 + 4C1*5C2*3C1+ 4C1*5C1*3C2)/12C4
    =(90+120+60)/495
    =270/495=6/11.

    Hence,option 2 is the correct answer.

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