If A={x in R : |x-2| gt 1}, B={x in R : ...

If `A={x in R : |x-2| gt 1}`, `B={x in R : sqrt(x^(2)-3) gt 1 }`, `C={x in R : |x-4| ge 2}` and Z is the set of all integers, then the number of subsets of the set `(AnnBnnC)^(c )nnZ` is ___________.

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics (Section B)

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