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JEE Main & Advanced Sample Paper JEE Main Sample Paper-36

  • question_answer
    Two finite sets have \[m\] and \[n\] elements. The total number of subsets of the first set is \[56\] more than the total number of subsets of the second set. Then:

    A) \[m=3,\,\,n=6\]                      

    B) \[m=6,\,\,n=3\]

    C) \[m=5,\,\,n=6\]                      

    D)  None of these

    Correct Answer: B

    Solution :

    \[{{2}^{m}}={{2}^{n}}+56\Rightarrow {{2}^{m}}-{{2}^{n}}=64-8={{2}^{6}}-{{2}^{3}}\]


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