JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of combinations, Conditional combinations, Division into groups, Derangements

  • question_answer
    In the 13 cricket players 4 are bowlers, then how many ways can form a cricket team of 11 players in which at least 2 bowlers included [RPET 1988]

    A) 55

    B) 72

    C) 78

    D) None of these

    Correct Answer: C

    Solution :

    The number of ways can be given as follows 2 bowlers and 9 other players \[{{=}^{4}}{{C}_{2}}{{\times }^{9}}{{C}_{9}}\] 3 bowlers and 8 other players \[{{=}^{4}}{{C}_{3}}{{\times }^{9}}{{C}_{8}}\] 4 bowlers and 7 other players \[{{=}^{4}}{{C}_{4}}{{\times }^{9}}{{C}_{7}}\] Hence required number of ways \[=6\times 1+4\times 9+1\times 36=78\].


You need to login to perform this action.
You will be redirected in 3 sec spinner