Ullal ks) Question 3 (20 marks) (a) Suppose that A is the set of sophomores in the Department of Computer Science and B is the set of students who choose COMP1006 in the Department of Computer Science. Express each of the following sets in terms of A, and B. (i) The set of sophomores taking COMP1006. (ii) The set of sophomores who are not taking COMP1006. (iii) The set of students in the Department of Computer Science who either are sophomores or are taking COMP1006. (iv) The set of students in the Department of Computer Science who either are not sophomores and are taking COMP1006 (10 marks) A class consists of 12 men and 14 women. (b) (i) (ii) How many groups can be chosen from this class which consists of 6 men and 8 women? If a specific male A and a specific female B have to be in the same group, how many groups of 12 students including 6 males and 6 females can be formed from this class? Ouestion 3 continues in the next page