This Week's Problem: "Lunch Combos"
The standard lunch price at a cafeteria buys either a combination of 1 entree, 2 different side dishes, and 1 drink or a combination of 1 soup, 3 different side dishes, and 1 drink. Substitutions are not allowed, and customers cannot order multiple servings of any one side dish. If customers can choose from among 3 entree, 4 side dish, 3 soup, and 7 drink options, how many different lunch combinations are available for the standard lunch price?
Go for it. My answer will appear in the comments, and MGRE will publish the official answer next week. My first impression is that we're dealing with a typical permutations/combinations problem... but we'll see. I need to stare at it for a moment.