attached is my past assignment for my computer science class focusing on discrete mathematics

1. Seven freshmen and sixteen sophomores are taking a class. a. How many ways are there to select one representative from the class? b. How many ways are there to select two representatives from the class such that one is a freshman and the other is a sophomore? 2. Suppose a restaurant serves a \"special dinner" consisting of soup, salad, entree, dessert and beverage. The restaurant has two kinds of soup, three kinds of salad, six entrees, ve desserts, and eight beverages. How many different \"special dinners\" are possible (those differing in at least one selection}? 3. A community meeting was held that was attended by ve members of the legislature, eight members of the Pearl City Neighborhood board, and fteen members of the Central Oahu Rotary Club. Three members of the legislature are also members of the Rotary Club and ve members of the neighborhood board are members of the Rotary Club. No one is a member of both the neighborhood board and the legislature. How many people attended the meeting? 4. How many positive integers less than or equal to 2000 are divisible by either 5 or 9? 5. Assume a professor gives a 5-question multiple choice quiz where each question has four possible answers (a,b,c,d}. How many students must take the quiz to assure that at least two have exactly the same answers to all ve questions