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Discrete MathematicsWhich of the following statements regarding sets is false? (i) A \cap A = A (ii) A \cup A = A (iii) A - (B \cap C) = (A - B) \cup (A - C) (iv) (A \cup B)' = A' \cup B'20222mDiscrete MathematicsIf A \times B = B \times A, (Where A and B are general matrices) then (i) A=I (ii) A=B' (iii) B=A (iv) A'=B20232mDiscrete 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\}20222mDiscrete MathematicsIf two sets A and B have n elements in common, then show that the sets A × B and B × A will have 2^n elements in common.20197m