Answer:
377 possible meals
Step-by-step explanation:
Let's split this up into 3 cases: one course, two courses, and three courses.
<u>Case 1:</u>
The customer only eats one course. If so, that means they only eat an appetizer, a main meal, or a dessert. There are 6 choices of an appetizer, 8 for a main meal, and 5 for a dessert. Add these together:
6 + 8 + 5 = 19
<u>Case 2:</u>
The customer will eat two courses. If so, that means they eat:
- appetizer + main meal
There are 6 choices for appetizer and 8 for main meal, so in total, there are 6 * 8 = 48 choices.
- appetizer + dessert
There are 6 choices for appetizer and 5 for dessert, so in total, there are 6 * 5 = 30 choices.
- main meal + dessert
There are 8 choices for the main meal and 5 for dessert, so in total, there are 8 * 5 = 40 choices.
So, if the customer eats 2 courses, they have 48 + 30 + 40 = 118 choices.
<u>Case 3:</u>
The customer will eat three courses.
Since there are 6 choices for an appetizer, 8 for a main meal, and 5 for dessert, we multiply them together to get:
6 * 8 * 5 = 240 total choices
Finally add all the total choices from each of the 3 cases:
19 + 118 + 240 = 377 possible meals
<em>~ an aesthetics lover</em>
