Set A has m elements and Set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m.n is

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answer is 28.

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Detailed Solution

Given n(A)=m and n(B)=n (Number of subsets of A) - (Number of subsets of B) =112⇒2m-2n=112=27-24∵m=7 and n=4⇒m·n=28

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