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JEE Main20206 Sep 2020Morning ShiftMathematicsSets and RelationsActual

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___.

Correct answer

0

Step-by-step solution

2 m = 2 n + 112 ⇒ 2 m - 2 n = 112 ⇒ 2 n · 2 m - n - 1 = 2 4 · 2 3 - 1 ⇒ n = 4 ,   m = 7

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