A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 11 choices for an entrée, and 4 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert? A meal can be chosen in ways. (Type a whole number.)
A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 11 choices for an entrée, and 4 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert? A meal can be chosen in ways. (Type a whole number.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Example Problem for Combinatorics in a Restaurant Menu
A restaurant offers a $12 dinner special that includes:
- 6 choices for an appetizer,
- 11 choices for an entrée, and
- 4 choices for a dessert.
**Question:** How many different meal combinations are available when you select one appetizer, one entrée, and one dessert?
---
**Solution:**
To determine the number of different meal combinations available, multiply the number of choices for each course:
\[
\text{Total Meal Combinations} = (\text{Number of Appetizers}) \times (\text{Number of Entrées}) \times (\text{Number of Desserts})
\]
Given:
- Number of Appetizers = 6
- Number of Entrées = 11
- Number of Desserts = 4
Therefore:
\[
\text{Total Meal Combinations} = 6 \times 11 \times 4
\]
Calculate the product:
\[
6 \times 11 = 66
\]
\[
66 \times 4 = 264
\]
So, a meal can be chosen in \( \boxed{264} \) ways.
Feel free to use this method for any similar problems involving combinations of different choices.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf5b27fc-182c-458d-bf52-a3d5fb8d4e7e%2F2a2d3898-251e-41a2-ba7d-a57d3556a55b%2F9nwmdb9_processed.png&w=3840&q=75)
Transcribed Image Text:### Example Problem for Combinatorics in a Restaurant Menu
A restaurant offers a $12 dinner special that includes:
- 6 choices for an appetizer,
- 11 choices for an entrée, and
- 4 choices for a dessert.
**Question:** How many different meal combinations are available when you select one appetizer, one entrée, and one dessert?
---
**Solution:**
To determine the number of different meal combinations available, multiply the number of choices for each course:
\[
\text{Total Meal Combinations} = (\text{Number of Appetizers}) \times (\text{Number of Entrées}) \times (\text{Number of Desserts})
\]
Given:
- Number of Appetizers = 6
- Number of Entrées = 11
- Number of Desserts = 4
Therefore:
\[
\text{Total Meal Combinations} = 6 \times 11 \times 4
\]
Calculate the product:
\[
6 \times 11 = 66
\]
\[
66 \times 4 = 264
\]
So, a meal can be chosen in \( \boxed{264} \) ways.
Feel free to use this method for any similar problems involving combinations of different choices.
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