A local restaurant is running a lunch special where you can purchase a lunch combo for $5.00. This combo includes a soup, a salad, and a drink. Here are.

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Presentation transcript:

A local restaurant is running a lunch special where you can purchase a lunch combo for $5.00. This combo includes a soup, a salad, and a drink. Here are all possible choices. How many different combinations are available? SoupsSaladsDrinks Chicken Noodle Wedding Soup Vegetable Tomato Garden Caesar Iced Tea Lemonade Bell Work

Lunch Combos! Chicken Noodle Garden Lemonade Chicken Noodle Garden Iced Tea Chicken Noodle Caesar Lemonade Chicken Noodle Caesar Ice Tea Wedding Garden Lemonade Wedding Garden Iced Tea Wedding Caesar Lemonade Wedding Caesar Iced Tea Vegetable Garden Lemonade Vegetable Garden Iced Tea Vegetable Caesar Lemonade Vegetable Caesar Iced Tea Tomato Garden Lemonade Tomato Garden Iced Tea Tomato Caesar Lemonade Tomato Caesar Iced Tea

If there are n items (categories) and m 1 to choose a first item, m 2 ways to choose a second item after the first item has been chosen, and so on, then there are ways to choose n items. Revisit introductory example… How many items (or categories) do we have? What is m 1 ? What is m 2 ? What is m 3 ?

Name 3 Types of Hats Name 3 Types of Shirts Name 2 Types of Pants Name 4 Types of Shoes Using the Fundamental Counting Principle, how many different outfits are possible? An outfit consists of one hat, one shirt, one pair of pants, and one pair of shoes.

In Ohio, every license plate has 3 letters followed by 4 numbers. An example is below. AFD5403 How many license plates are possible? Both letters and numbers can be repeated!

A new sandwich shop is opening! At this shop, you can make your own sandwich using one type of bread, one type of meat, one type of cheese, one type of vegetable, and one type of sauce or dressing. How many different types of sandwiches can you make? BreadMeatCheeseVegetableSauce/Dressing White Rye Wheat Chicken Ham Bacon Beef Turkey American Cheddar Provolone Pepper jack Lettuce Tomato Peppers Italian dressing Ranch dressing Mayonnaise Vinegar