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Two finite sets have m and n elements. T...

Two finite sets have m and n elements. The total number of subsets of the first set is 48 more than the total number of subsets of the second set. The value of m - n is

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The correct Answer is:
2
As `2^(m)-2^(n)=48=16xx3=2^(4)xx3`
`implies2^(n)(2^(m-n)-1)=2^(4)(2^(2)-1)`
`therefore n=4 and m-n=2`
n = 4 and m = 6
Now, m - n = 2
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