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JCECE Engineering JCECE Engineering Solved Paper-2009

  • question_answer
    If four digits are taken from the digits \[1,\,\,2,\,\,3,\,\,4,\] \[5,\,\,6,\,\,7\]. The probability that the sum of digits is less than\[12\], is

    A) \[\frac{3}{25}\]                                

    B) \[\frac{4}{35}\]

    C) \[\frac{2}{35}\]                                

    D) \[\frac{1}{35}\]

    Correct Answer: C

    Solution :

    The total number of four digits number from the digits\[(1,\,\,2,\,\,3,\,\,4,\,\,5,\,\,6,\,\,7)\]                 \[=7\times 6\times 5\times 4\] The favourable four digits number whose sum of digits is less than. \[\therefore \]Total favourable four digits number                 \[=4!\,\,+4!\]                 \[=48\] \[\therefore \]Required probability\[=\frac{48}{7\times 6\times 5\times 4}\]                                            \[=\frac{2}{35}\]


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