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

  • question_answer
    The letters of the word MODESTY are written in all possible orders and these words are written out as in a dictionary, then the rank of the word MODESTY is

    A) 5040

    B) 720

    C) 1681

    D) 2520

    Correct Answer: C

    Solution :

    Words start with D are \[6\ !=720\], start with E are 720, start with MD are \[5\ !=120\] and start with ME are 120. Now the first word starts with MO is nothing but MODESTY. Hence rank of MODESTY is 1681.

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