Math Problem Statement
Solution
The question in the image asks how many different meal combinations you can get for $3.98, given the following choices:
- 5 different salads
- 2 different main courses
- 6 different desserts
To calculate the total number of different meal combinations, you simply multiply the number of choices for each course together.
Substituting the values:
Thus, you can get 60 different meal combinations for $3.98.
Would you like further details or clarifications?
Here are five related questions:
- What would happen if you added another category like beverages?
- How would the number of combinations change if more options were added for main courses?
- If each combination had a different probability of being selected, how could we calculate the probability of each meal?
- How does this problem relate to the concept of permutations versus combinations?
- How would limiting the number of salads or desserts to one per customer affect the outcome?
Tip: In these types of problems, always check if the order of choices matters—here it doesn't, as any salad-main-dessert combination is a valid meal.
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Multiplication Principle
Formulas
Total combinations = (number of salads) × (number of main courses) × (number of desserts)
Theorems
Fundamental Principle of Counting
Suitable Grade Level
Grades 5-7
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