Multiple Choice Questions on A volley ball team of six players is to be selected from a group of 9 male players lsquo x rsquo fem........... for SSC CGL Exam Preparation

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Multiple Choice Questions

A volley ball team of six players is to be selected from a group of 9 male players lsquo x rsquo fem...........

Quantitative Aptitude (CGL) Permutation & Combination
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    A volley ball team of six players is to be selected from a group of 9 male players ‘x’ female players. Find the value of ‘x’, if the number of ways to select a team having exactly two female players is equal to 1890.

     6 

    Correct Answer

    7 

    Incorrect Answer

    8 

    Incorrect Answer

    9 

    Incorrect Answer

    None of these

    Incorrect Answer
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    Explanation:

    Number of ways to select the team having exactly two female players = 9C4 × xC2 = 1890

    126 × { x (x – 1)} = 1890 
                     2

    x2 – x = 30 

    x2 – x – 30 = 0

    x2 – 6x + 5x – 30 = 0 

    x (x – 6) + 5 (x – 6) = 0

    (x + 5) (x – 6) = 0

    x = 6, – 5

    Number of players can’t be negative, so the value of x = 6

    Hence, option A is correct.

    By: Parvesh Mehta
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