Assessment Questions Question 1 (a) Which of the following statements are true and which are false? You must provide justification, such as proof for your answer. No credit is available for writing "true" or "false" only. Let n E N. (i) If X is a finite set with | X ] = n and f : X -> Y is an injective function, then |Y| = n. (ii) If X is a finite set with | X] = n and f : X - Y is a surjective function, then |Y| = n. (iii) If X is a finite set with | X] = n, then every function f : X - X is injective or surjective. [6 marks] (b) Let X, Y be sets in a universal set . Let f : X -> Y be a function. Determine if for all A, B C X, f(AUB) = f(A) Uf(B). You must fully justify your answer, no credit is available for answers without justification. [6 marks]