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Question

The finite sets $A$ and $B$ have $m$ and $n$ elements respectively. if the total number of subsets of $A$ is 112 more than the total number of subsets of $B$ , then the volume of $m$ is

7
9
10
12

The correct answer is: 7

According to the given condition,
$2 to the power of m end exponent equals 112 plus 2 to the power of n end exponent$
$rightwards double arrow blank 2 to the power of m end exponent minus 2 to the power of n end exponent equals 112$
$rightwards double arrow blank m equals 7 comma blank n equals 4$

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