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Discrete 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\}20222mDiscrete 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'20222m Compiler DesignChoose the correct answer of the following: After removing left recursion from A \rightarrow A\alpha / \beta , the resulting grammar will be (i) A \rightarrow \beta A' (ii) A \rightarrow \alpha A' (iii) A \rightarrow \alpha \beta A'' (iv) A \rightarrow \beta \alpha A'20222m
PreviousIf m is the number of objects (pigeons) and n is the number of boxes (pigeonholes), then the function is both one-to-one and onto if (i) m<n (ii) m=n (iii) m>n (iv) none of theseNextIf f(x) = \cos x and g(x) = x^3 then (f \circ g)(x) is (i) (\cos x)^3 (ii) \cos 3x (iii) x^{(\cos x)^3} (iv) \cos x^3
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