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Discrete Mathematicsa.) find the power set of each of these sets i) \{a, b\} ii) \{\emptyset, \{\emptyset\}\}20237mDiscrete 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 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 Mathematicsa) Let A = B = \{x | -1 \leq x \leq 1\} for each of the following functions state where it is injective, surjective or bijective i) g(x) = \sin \pi x ii) h(x) = \frac{2x}{3}20237m