CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    The number of binary operations that can be defined on the set\[A=\{a,\text{ }b,\text{ }c\}\] is:

    A)  \[{{3}^{3}}\]                     

    B)         \[{{3}^{4}}\]

    C)  \[{{3}^{9}}\]                     

    D)         \[{{9}^{3}}\]

    E)  3

    Correct Answer: C

    Solution :

    The number of binary operations on a set S having n elements is\[{{n}^{{{n}^{2}}}}\]. For A = {a, b, c} No of binary binary operations are\[{{3}^{32}}={{3}^{9}}\]


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