CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    The number of four digit even numbers that can be formed using 0, 1, 2, 3, 4, 5, 6 without repetition, is:

    A)  120                       

    B)         300

    C)  420                       

    D)         20

    E)  42

    Correct Answer: C

    Solution :

    If 0 be at the units place, then number of four digit even number \[{{=}^{6}}{{P}_{3}}=6\times 5\times 4=120\] If 2, 4 or 6 be at the units place, then number of four digit even number \[=3{{[}^{6}}{{P}_{3}}{{-}^{5}}{{P}_{2}}]\] \[=3[120-20]=300\] \[\therefore \]Total number of ways\[=300+120=420\]


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