Multiple Choice Questions on committee of 8 members is to be selected from a group of 12 male and 10 female members In how many w........... for HP Allied Exam Preparation

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Multiple Choice Questions

committee of 8 members is to be selected from a group of 12 male and 10 female members In how many w...........

Quantitative Aptitude (HP Allied) Permutation & Combination
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    committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?

    13540

    Incorrect Answer

    14200

    Incorrect Answer

    15300 

    Correct Answer

    16400 

    Incorrect Answer

    None of these

    Incorrect Answer
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    Explanation:

    Case I: Two male members in the committee

    Number of ways to select the committee = 12C2 × 10C6 = 66 × 210 = 13860 ways

    Case II: One male member in the committee

    Number of ways to select the committee = 12C1 × 10C7 = 12 × 120 = 1440 ways So, total number of ways = 13860 + 1440 = 15300 ways

    Hence, option C is correct.

    By: Munesh Kumari
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