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A restaurant offers meals with the following components: rice/noodle/potatoes, beef/pork/chicken, vegetables (beans, carrots, tomatoes) and drink (coke, sarsi, juice, beer). The question asks to calculate the number of different possible meal combinations.

Discrete MathematicsCombinatoricsCounting PrinciplesProduct Rule
2025/5/30

1. Problem Description

A restaurant offers meals with the following components: rice/noodle/potatoes, beef/pork/chicken, vegetables (beans, carrots, tomatoes) and drink (coke, sarsi, juice, beer). The question asks to calculate the number of different possible meal combinations.

2. Solution Steps

The number of options for each food category is:
- Rice/Noodle/Potatoes: 3 options
- Beef/Pork/Chicken: 3 options
- Vegetables (beans, carrots, tomatoes): 3 options
- Drink (coke, sarsi, juice, beer): 4 options
The total number of possible meal combinations is the product of the number of options in each category.
Therefore, the total number of possible meals is 3×3×3×43 \times 3 \times 3 \times 4.
Calculating the product: 3×3=93 \times 3 = 9, 9×3=279 \times 3 = 27, 27×4=10827 \times 4 = 108.

3. Final Answer

108

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