Two finite sets have m and n elements. The total number of subsets of – InterviewSolution

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1.	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. The value of m and n isA. 7, 6B. 6, 3C. 5, 1D. 8, 7
Answer» Correct Answer - B Since, `2^(m)-2^(n)=56=8xx7=2^(3)xx7` `implies 2^(n)(2^(m-n)-1)=2^(3)xx7` `implies n=3and2^(m-n)=8=2^(3)impliesn=3andm-n=3` implies n = 3 and m - 3 = 3 implies n = 3 and m = 6

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