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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 37

  • question_answer
    The numbers of times the digit 5 will be written when listing the integers from 1 to 1000 is -

    A) 271      

    B)        272  

    C) 300  

    D)        None

    Correct Answer: C

    Solution :

    [c] =---: digits are from 0 to 9. = (Only once) + (twice) + (thrice) \[={{\,}^{3}}{{C}_{1}}.9.9(1){{+}^{3}}{{C}_{2}}.9(2){{+}^{3}}{{C}_{3}}.1(3)\] \[=3.81+3.18+1.3\] \[=\]    


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