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Question

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
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B
5, 1
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C
6, 3
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D
8, 7
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Solution

The correct option is C 6, 3
Given that n (A)=m, n (B)=nn(P(A))=2m and n(P(B))=2nThus, n(P(A))n(P(B))=2m2n=562n(2mn1)=237Comparing both sides, we get;n=32mn1=72mn=8=23mn=3m3=3or, m=6

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