2. Solved Papers
  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are:

    A)  7, 6

    B)                                         6, 3

    C)  5, 1                       

    D)         7, 8

    E)  3, 6

    Correct Answer: B

    Solution :

    According to question, \[{{2}^{m}}-{{2}^{n}}=56\] \[{{2}^{n}}({{2}^{m-n}}-1)=56\] This is possible only, if\[m=6\]and\[n=3\].


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