JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of permutation, Number of permutations with or without repetition, Conditional permutations

  • question_answer
    The number of arrangements of the letters of the word BANANA in which two N?s do not appear adjacently is [IIT Screening 2002]

    A) 40

    B) 60

    C) 80

    D) 100

    Correct Answer: A

    Solution :

    Required number of arrangements = (Total number of arrangements) - (Number of arrangements in which N?s are together) \[=\frac{6!}{2!\,\,\times \,\,3!}-\frac{5!}{3!}=60-20=40\].

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