Final answer:
To find the number of dinner combinations, multiply the number of choices for each course together: 2 appetizers × 3 main courses × 2 desserts, resulting in 12 different combinations.
Step-by-step explanation:
The question involves calculating the number of possible combinations of a three-course meal from a limited set of choices. Since customers can choose from 2 appetizers, 3 main courses, and 2 desserts, we simply need to multiply the number of options for each course together to find the total number of combinations possible.
To calculate this, we use the basic principle of counting in combinatorics. The formula for the number of combinations is the product of the choices available for each selection. Therefore:
- For appetizers: 2 choices
- For main courses: 3 choices
- For desserts: 2 choices
Using multiplication:
2 appetizers × 3 main courses × 2 desserts = 12 combinations
Thus, there are 12 different dinner combinations available for customers.