local restaurant, there's a special deal going on where you can order one appetizer, one main course, and one dessert all for just $20.  You decide to take advantage of this deal.  You can choose from among 6 appetizers, 10 main courses, and 4 desserts, selecting exactly one of each category.  How may different meals can be made?

You have been named the Good Reader in your town’s reading club. You’re invited to give a 15-minute speech at the annual reception. You want to spend the speech talking about three themes; (1) how you came to love books, (2) the camaraderie you feel in the club, and (3) your long-term goals for encouraging reading in the town. You would like to spend at least 2 minutes talking about each theme. How many ways can you segment your time so that you talk enough about each theme? Note that you should assume the number of minutes you spend talking about each theme is a natural number. One example of a valid breakdown is 3 minutes on theme 1, 5 minutes on them 2, and 7 minutes on theme 3. Describe how you arrived at your solution.

You are picking elective classes to finish your college degree. You must take 3 more courses, one in math, one in science, and one in the humanities. There are 3 math classes, 4 science classes, and 5 humanities classes you can choose from. How many ways can you select 3 remaining courses to finish your degree?

You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $⁢9 for heads and $⁢21 for tails. Your mother says she wants you to roll a six-sided die. She will give you $⁢5 times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.