1.Set Theory
medium

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 $m \times n$ is

A

$7$

B

$4$

C

$28$

D

$24$

(JEE MAIN-2020)

Solution

$2^m -2^{ n }=112$

$m =7, n =4$

$\left(2^{7}-2^{4}=112\right)$

$m \times n =7 \times 4=28$

Standard 11
Mathematics

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