Math Problem Statement

As part of a marketing campaign for a small restaurant they want to show off the number of different meals a person can have if they order an appetizer, salad or soup, an entree, and a dessert. On the menu they have 6 appetizers you can order, 2 salads, 2 soups, 14 entrees, and 4 desserts. How many different total meal combinations can be made?

Solution

To calculate the total number of different meal combinations a person can have, we multiply the number of choices available for each part of the meal.

  • There are 6 appetizers.
  • For the second course, the person can choose either 2 salads or 2 soups. So, the total choices for this course are 2+2=42 + 2 = 4 options.
  • There are 14 entrees.
  • There are 4 desserts.

Now, the total number of combinations is the product of all these choices:

Total combinations=6×4×14×4\text{Total combinations} = 6 \times 4 \times 14 \times 4

Let's calculate:

[ 6 \times 4 = 24

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Multiplication Principle

Formulas

Total combinations = (Number of appetizers) × (Number of salads or soups) × (Number of entrees) × (Number of desserts)

Theorems

Fundamental Principle of Counting

Suitable Grade Level

Grades 6-8