Problem 4. lce Cream Sundaes (10 points) You're babysitting the neighborhood kids, and have decided to make them ice cream sundaes. You have 4 flavors of ice cream, 3 flavors of frozen yogurt, 5 types of syrup, and 2 kinds of sprinkles. You have enough ingredients to feed everyone, that is you don't need to worry about running out. (a) [2 pts.] State the relevant sets and their cardinalities. (b) [4 pts.] One kid wants either one flavor (either ice cream or frozen yogurt), and one syrup. How many options do they have? Show how you arrived at your solution. (c) [4 pts.] Another kid wants 4 scoops of ice cream, 3 squirts of syrup, and 1 serving of sprinkles. They're happy to repeat any flavor of ice cream and any syrup any number of times (e.g. 4 scoops of vanilla and 3 squirts of chocolate syrup would be fine). How many options do they have? Show how you arrived at your solution