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 numbers less than 1000 can be made from the digits 1, 2, 3, 4, 5, 6 (repetition is not allowed)

    A) 156

    B) 160

    C) 150

    D) None of these

    Correct Answer: A

    Solution :

    Number of 1 digit numbers \[{{=}^{6}}{{P}_{1}}\] Number of 2 digit numbers \[{{=}^{6}}{{P}_{2}}\] Number of 3 digit numbers \[{{=}^{6}}{{P}_{3}}\] The required number of numbers\[=6+30+120=156\].


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