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

  • question_answer
    In a touring cricket team there are 16 players in all including 5 bowlers and 2 wicket-keepers. How many teams of 11 players from these, can be chosen, so as to include three bowlers and one wicket-keeper [MP PET 1984]

    A) 650

    B) 720

    C) 750

    D) 800

    Correct Answer: B

    Solution :

    Required number of ways = \[^{5}{{C}_{3}}{{\times }^{2}}{{C}_{1}}{{\times }^{9}}{{C}_{7}}\]\[=10\times 2\times 36=720\].


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