CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    The number of positive integers less than 40000 that can be formed by using all the digits 1, 2, 3, 4 and 5 is equal to

    A)  24                                         

    B)  78

    C)  32                         

    D)         216

    E)  72

    Correct Answer: E

    Solution :

    \[\underset{3}{\mathop{\square }}\,\,\,\,\underset{4}{\mathop{\square }}\,\,\,\,\underset{3}{\mathop{\square }}\,\,\,\,\underset{2}{\mathop{\square }}\,\,\,\,\underset{1}{\mathop{\square }}\,\underset{(ways\text{ }to\text{ }filling\text{ }the\text{ }box)}{\mathop{{}}}\,\] \[\therefore \]Required number of positive integer \[=3\times 4\times 3\times 2\times 1\] \[=72\]


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