Restaurant Advertising
A restaurant owner wants to claim that his restaurant has lots of variety (even though it doesn't). Each meal at his restaurant comes with a drink, 2 dishes, and a dessert. You can mix and match them, as long as you have 1 drink, 2 dishes, and a dessert.
There are 4 drinks: water, grape juice, 'aged grape juice', and wine.
There are 5 dishes: Hamburger, Hamburger with Cheese, Cheeseburger, Cheeseburger without cheese, and '2 Slices of Bread'.
There are 3 Desserts: Vanilla Ice Cream, Chocolate Ice Cream, and Strawberry Ice Cream.
The owner decides to put up a sign that says "X or more different meals to choose from!" What is the maximum value of X he can put on the sign?
The answer is 120.
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1 solution
4 ways to choose a drink * 3 ways to choose a desert * ways to choose a dish.
There are 5 C 2 ways to choose a 2 dishes, so 10 ways total. 4 * 3 * 10 = 120