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Let the sets be A, B, C, D then(A ∩ B) X (C ∩ D) is equivalent to __________(a) (A X C) ∩ (B X D)(b) (A X D) U (B X C)(c) (A X C) U ( B X D)(d) None of the mentionedThe question was asked during an internship interview.This interesting question is from Cartesian Product of Sets topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer» CORRECT OPTION is (a) (A X C) ∩ (B X D)

Easiest EXPLANATION: (A ∩ B) X (C ∩ D) = (A X C) ∩ (B X D) but in case of UNIONS this is not true.


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