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Discrete MathematicsA graph which has the same number of edges as its complement must have number of vertices congruent to \_\_\_\_\_\_ or \_\_\_\_\_\_ modulo 4 (for integral values of number of edges). (i) 6k, 6k-1 (ii) 4k, 4k+1 (iii) k, k+2 (iv) 2k+1, k20222mDiscrete Mathematics(f) For the poset [{3, 5, 9, 15, 24, 45}]; divisor of | the bus of {3, 5} is (i) 3 (ii) 5 (iii) 15 (iv) 4520192mDiscrete Mathematics(a) Let D = \{-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36\} Determine which of the following statements are true and which are false. Provide counterexamples for those statements that are false. (i) \forall x \in D, if x is odd, then x > 0 (ii) \forall x \in D, if x is less than 0, then x is even (iii) \forall x \in D, if x is even, then x \le 020226mDiscrete MathematicsLet N = \{1,2,3,......\} be ordered by divisibility, which of the following subset is totally ordered (i) \{2, 6, 24\} (ii) \{3, 5, 15\} (iii) \{2, 9, 16\} (iv) \{4, 15, 30\}20232m