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Formula Based on Cardinality of Sets along with Solved Examples.

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SOLVED: Determine the cardinality of the following sets. For sets which are "infinite", indicate if it is "countable" or your answer.(Support answers with a theorem or computation or diagram)A. P(A) × B where |A|=5 and |B|=4.B. A ∪ B if |A|=|B|-2=15 and |A ∩ B|=9C. The set of all bit strings ^1.D. Set of points in the plane which both coordinates are integer numbers.E. {x ∈ℝ| x is an irrational number }Note: P(X) denotes the power set of X, i.e., the set of all subsets of X.^1 A bit string a fin