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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 21 English and 19 Hindi books be placed in a row so that no two Hindi books are together

    A) 1540

    B) 1450

    C) 1504

    D) 1405

    Correct Answer: A

    Solution :

    \[\bullet E\bullet E\bullet E\bullet ......\bullet E\bullet \] According to condition there are 22 vacant places for Hindi books hence total number of ways are = \[^{22}{{C}_{19}}=1540\], {Since books are same}.


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