In: Statistics and Probability
Select a pizza restaurant and a sandwich shop. For the pizza restaurant look at the menu to determine how many sizes, crust types, and toppings are available. How many different pizza types are possible? For the sandwich shop determine how many breads, meats, veggies, cheeses, sauces, and condiments are available. How many different sandwich choices are possible?
The Italian pizza restaurant has the following menu:
Crust types: Gourmet pizza (G), and White pizzas (W).
Popular additional toppings: Onion (O), Pepper (P), Fresh Mushrooms (M), Broccoli (B), Fried Chicken (C).
The total number of Pizza combinations is:
3 × 2 × 5 = 30
The tree diagram for the pizza restaurant’s menu is:
Breads: White bread, Brown bread, Flat bread, Multi grain bread.
Meats: Baked ham, Chicken Breast, Corned Beet.
Cheeses: Sliced American cheese, Hot pepper
Veggies: Tomatoes, cucumber,
Sauces: Tartar sauce, Celery sauce, Chicken sauce, Meat Ball covey.
Condiments: Ketchup, Mustard, Pickle Relish, Pesto, Humus, Tapenade.
The total number of sandwich combinations is:
4 × 3 × 2 × 2 × 4 × × 6 = 1152
The total number of sandwich combinations is:
4 × 3 × 2 × 2 × 4 × × 6 = 1152