Math Problem Statement
Solution
To solve this problem, we calculate the total number of menu combinations by multiplying the number of choices for each course (main dish, salad, and dessert). Here's the breakdown:
- Main dishes: Steak, Pasta, or Fish = 3 options
- Salads: Potato Salad, Macaroni Salad, or Fruit Salad = 3 options
- Desserts: Apple Crisp or Peach Cobbler = 2 options
The total number of combinations is:
Substituting the numbers:
Final Answer: 18 combinations
Would you like a step-by-step explanation or further clarification?
Here are 5 related questions to explore:
- If Clayton adds a fourth main dish option (e.g., chicken), how many total combinations will there be?
- What if Clayton eliminates one salad choice—how does this change the total number of combinations?
- If he adds a new dessert option, how does it affect the total?
- How many combinations are possible if Clayton only serves two courses (main dish and salad)?
- Can you create a list of all possible combinations for the current menu?
Tip: Use multiplication to calculate the total combinations in scenarios involving independent choices!
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Multiplication Principle of Counting
Formulas
Total combinations = (Main dishes) × (Salads) × (Desserts)
Theorems
Fundamental Principle of Counting
Suitable Grade Level
Grade 6-8
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