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

  • question_answer
    The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is

    A) 72

    B) 96

    C) 90

    D) 98

    Correct Answer: C

    Solution :

    Required number of ways = \[5\ !\ -4\ !\ -3\ !\] \[120-24-6=90\]. [Number will be less than 56000 only if either 4 occurs on the first place or 5, 4 occurs on the first two places].


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