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

  • question_answer
    How many words can be formed with the letters of the  word MATHEMATICS by rearranging them  [MP PET 1984; DCE 2001]

    A) \[\frac{11\ !}{2\ !\ 2\ !}\]

    B) \[\frac{11\ !}{2\ !}\]

    C) \[\frac{11\ !}{2\ !\ 2\ !\ 2\ !}\]

    D) \[11\ !\]

    Correct Answer: C

    Solution :

    Since there are 2 M's, 2 A's and 2T's. \[\therefore \] Required number of ways are \[\frac{11\ !}{2\ !\ 2\ !\ 2\ !}\].


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