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? using branches for soup and salad diagram
The total number of options can be calculated by multiplying the number of choices for each course:
Appetizer:
- Soup
- Salad
Main Course:
- Chicken
- Pasta
- Salmon
Dessert/Second Appetizer:
- Cake
- Pie
- Second appetizer (Soup or Salad)
Using branches to diagram the options:
Appetizer (2 options) ---> Main Course (3 options) ---> Dessert (2 options) = 2 x 3 x 2 = 12 options
If customers choose a second appetizer instead of dessert:
Appetizer (2 options) ---> Main Course (3 options) ---> Second Appetizer (2 options) = 2 x 3 x 2 = 12 options
Therefore, the total number of different options for dinner at this restaurant is 12 + 12 = 24.