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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Correct answer is 28
Explaination:
No. of subsets of A=2m No. of subsets of B=2n 2m=2n+112 2m−2n=112
2n(2m−n−1)=112 2n(2m−n−1)=24(23−1) n=4 m−n=3 m−4=3 ⇒m=7 m×n=28 =28
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