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

  • question_answer
    The numbers of arrangements of the letters of the word SALOON, if the two O's do not come together, is

    A) 360

    B) 720

    C) 240

    D) 120

    Correct Answer: C

    Solution :

    Total number of arrangements are\[\frac{6\ !}{2\ !}=360\]. The number of ways in which \[....+{{(}^{2n+1}}{{C}_{n}}+{{\,}^{2n+1}}{{C}_{n+1}})\] come together\[=5\ !=120\]. Hence required number of ways =\[360-120=240\].

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