CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2009

  • question_answer
    Two finite sets A and B have m and n elements respectively. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m is

    A)  7                                            

    B)  9

    C)  10                         

    D)         12

    E)  13

    Correct Answer: A

    Solution :

    According to the given condition, \[{{2}^{m}}=\text{ }112+{{2}^{n}}\] \[\Rightarrow \]               \[{{2}^{m}}-{{2}^{n}}=112\] \[\Rightarrow \]            \[m=7,\text{ }n=4\]


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