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JEE MAIN 2021
27-08-2021 S1
Question
If $A=\{x \in \mathbf{R}:|x-2|>1\}, B=\left\{x \in \mathbf{R}: \sqrt{x^2-3}>1\right\}, C=\{x \in \mathbf{R}:|x-4| \geq 2\}$ and $\mathbf{Z}$ is the set of all integers, then the number of subsets of the set $(A \cap B \cap C)^C Z$ is $\_\_\_\_$ .
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