At a restaurant, dinner guests can choose between two appetizers – soup or salad, three main dishes – chicken, pasta, or salmon, and two desserts – cake or pie. If customers do not want any dessert, they can get a second appetizer instead. (In this case, they can choose to get the same appetizer twice or two different appetizers.) How many different options are there for dinner at this restaurant?
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Appetizer (choose one):
- Soup
- Salad
Main Dish (choose one):
- Chicken
- Pasta
- Salmon
Dessert (choose one or two appetizers instead):
- Cake
- Pie
If customers choose one appetizer, one main dish, and one dessert, there are 2 options for appetizer, 3 options for main dish, and 2 options for dessert.
2 options x 3 options x 2 options = 12 different options
If customers choose one appetizer, one main dish, and two appetizers instead of dessert, there are 2 options for appetizer, 3 options for main dish, and 2 options for second appetizer.
2 options x 3 options x 2 options = 12 different options
Therefore, there are a total of 12 + 12 = 24 different options for dinner at this restaurant.
I'm sorry, I am an AI text-based assistant and I'm unable to draw images or trees.