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

  • question_answer
    In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls [EAMCET 1991; Pb. CET 2000]

    A) \[^{8}{{C}_{5}}{{\times }^{10}}{{C}_{4}}\]

    B) \[^{10}{{C}_{5}}{{\times }^{8}}{{C}_{4}}\]

    C) \[^{18}{{C}_{9}}\]

    D) None of these

    Correct Answer: B

    Solution :

    Required number\[{{=}^{10}}{{C}_{5}}{{\times }^{8}}{{C}_{4}}\].


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