RAJASTHAN ­ PET Rajasthan PET Solved Paper-2005

  • question_answer
    In the 13 cricket players, 4 are bowlers and 2 are wicket keepers, then in how many ways can form a cricket team of 11 players in which one wicket keeper and atleast 3 bowlers included, is

    A)  112             

    B)  22

    C)  8               

    D)  1

    Correct Answer: B

    Solution :

     Number of ways of selecting 3 bowlers and 1 wicket keeper \[{{=}^{4}}{{C}_{3}}{{\times }^{2}}{{C}_{1}}{{\times }^{7}}{{C}_{7}}\] \[=4\times 2\times 1\] \[=8\] Number of ways of selecting 4 bowlers and 1 wicket keeper \[{{=}^{4}}{{C}_{3}}{{\times }^{2}}{{C}_{1}}{{\times }^{7}}{{C}_{6}}\] \[=1\times 2\times 7=14\] \[\therefore \]Total number of ways of forming a team \[=8+14\] \[=22\]


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