🛠️ JEE➗ Maths

If \(A = \{ x \in R:|x - 2| > 1\}\), \(B=\left{x\in R:\sqrt{{x}^{2}-3}>1\right}\) and \(\ C = \{ x \in R:|x - 4| \geq…

Q1

If \(A = \{ x \in R:|x - 2| > 1\}\), \(B=\left{x\in R:\sqrt{{x}^{2}-3}>1\right}\) and \(\ C = \{ x \in R:|x - 4| \geq 2\}\) and \(Z\) is the set of all integers, then the number of subsets of the set \((A \cap B \cap C)^{c} \cap Z\) is

a

\(128\)

b

\(256\)

c

\(64\)

d

\(512\)

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