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Harshit
Harshit asked in Science & MathematicsMathematics · 5 years ago

Two finite sets have mandn element respectively.The total number of subset of m is 56 more than the total number of subsets of n find mandn?

3 Answers

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  • Anonymous
    5 years ago

    2^m = 2^n + 56

    m = 6, n = 3

  • Nick
    Lv 6
    5 years ago

    2^m - 2^n = 56 = 2^3*7

    2^(m-3) - 2^(n-3) = 7

    so n-3 = 0 otherwise the difference would be even => n= 2:

    2^(m-3) - 1 = 7

    2^(m-3) = 8

    m-3 = 3, m = 6:

    n=3

    m=6

  • J
    Lv 7
    5 years ago

    2^m - 2^n = 56

    64 - 8 = 56

    m=6, n=3

    The problem is not well stated.

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