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QJEEM20Macea2: JEE Main 2020 Mathematics - Class 11 JEEM20Macea2 Solution: Set A has m elements and set B has n elements. If the total…

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 ______.

Step-by-Step Verified Solution

Number of subsets of A = 2m

Number of subsets of B = 2n

Given = 2m – 2n = 112

∴\therefore m = 7, n = 4 (27 – 24 = 112)

∴\therefore m ×\times n = 7 ×\times 4 = 28

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