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

It is given that n(A) = m and n(B) = n and 2m = 2n+112. 2m-2n=112⇒m=7, n=4[number of subsets of set A and B are 2m and 2n representatives]

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