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Discrete MathematicsIf A and B are two nonempty sets having n elements in common, then A \times B and B \times A will have how many elements in common? (i) 2^n (ii) n^2 (iii) n^4 (iv) 2n20192mDiscrete MathematicsIf a set A have n elements, then how many relations will be there on set A? (i) n^2 (ii) 2^(n^2) (iii) 2^n (iv) 2n20192mDiscrete MathematicsFor any sets A and B, prove that (i) (A ∪ B)' = A' ∩ B' (ii) (A ∩ B)' = A' ∪ B'201914mDiscrete MathematicsWhich of the following two sets are equal? (i) A = \{1, 2\} and B = \{1\} (ii) A = \{1, 2\} and B = \{1, 2, 3\} (iii) A = \{1, 2, 3\} and B = \{2, 1, 3\} (iv) A = \{1, 2, 4\} and B = \{1, 2, 3\}20222m