JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Self Evaluation Test - Permutations and Combinatioins

  • question_answer
    How many numbers with no more than three digits can be formed using only the digits 1 through 7 with no digit used more than once in a given number?

    A) 259

    B) 249

    C) 257

    D) 252

    Correct Answer: A

    Solution :

    [a] (i) Number of 3 digit nos. \[=7\times 6\times 5=210\] (ii) Number of 2 digit nos. \[=7\times 6=42\] (iii) Number of 1 digit no. \[=7\] Total number of nos. \[=210+42+7=259\]

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