2.2 A team of four children is to be selected from a class of twenty children, to compete in a quiz game. In how many ways can the team be chosen if: a. Any four can be chosen; [2] b. The four chosen must include the oldest in the class; [3] c. The four chosen must exclude the oldest in the class. [3] 2.3 A certain population of male adults possesses the three characteristics of being married, having college degree, and being a citizen of a specified state. It was found that 5% of the males possess all three characteristics, 15% have a college degree and are citizen of a specified state, 8% have a college degree and are married, and 10% are married and are citizen of a specified state. Furthermore 45% of the male adults have a college a college degree, 40% are citizen of a specified state whereas 50% are married. a. Represent the situation using the Venn diagram, hence [5] b. If one male is chosen at random from this population, determine the probability that he: i. Is married or has a college degree or is from a specified state. [4] ii. Has a college degree and he is married. [2] ili. Is not from the specified state but is married and has a college degree. [3] iv. Is not married or does not have a college degree, given that he is from the specified state. [3]