A class of students consists of 8 boys and 12 girls. How many ways can a committee of 6 be selected? 2. a. b. How many ways can a committee of 6 be selected if an equal number of boys and girls are selected? c. How many ways can a committee of 6 be selected if no boys are to be selected? d. How many ways can a committee of 6 be selected if at least 5 boys are to be selected? e. Suppose two of the students do not get along. How many ways can a committee of 6 be selected so that the two of them aren't both selected? f. Suppose two of the students are glued together and cannot be separated. How many ways can a committee of 6 be selected? g. Suppose the class wants to elect a president, vice president, secretary and treasurer. How many ways can the 4 officers be selected?