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J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    How many four digit numbers are there with distinct digits?

    A)  \[5040\]              

    B)  \[4536\]

    C)  \[30240\]             

    D)  \[5274\]

    Correct Answer: B

    Solution :

    \[\overline{\begin{align}   & 9\,\,\,digits \\  & (1\,to\,\,9) \\ \end{align}}\] \[\overline{\begin{align}   & 9\,\,\,digits \\  & (0\,to\,\,9) \\ \end{align}}\] \[\overline{\begin{align}   & 8\,\,\,digits \\  & (0\,to\,\,9) \\ \end{align}}\] \[\overline{\begin{align}   & 7\,\,\,digits \\  & (0\,to\,\,9) \\ \end{align}}\]
    Except those digit used in first place Except those digits used in Ist and IInd place Except those digits used in Ist, IInd and IIIrd place
    \[\therefore \]  Required number of digits \[=9\times 9\times 8\times 7\] \[=4536.\]


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