In a class of 18 students there are 11 math majors and 7 computer science majors. Four students are randomly picked to prepare a demonstrate on the use of a graphing calculator. a. If one person in the class is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a math major? b. How many ways can the group of students be formed if there are no restrictions on composition? c. How many ways can three math majors be chosen? d. How many ways can 1 computer science major be chosen? e. What is the probability that the random selection of the four-person group will result in three math majors and 1 computer science major?