Questions: 2. Suppose at a particular restaurant you have eight choices for an appetizer, eleven choices for a main course, and five choices for dessert. If you are allowed to choose exactly one item from each category for your meal, how many different meal options do you have?

2. Suppose at a particular restaurant you have eight choices for an appetizer, eleven choices for a main course, and five choices for dessert. If you are allowed to choose exactly one item from each category for your meal, how many different meal options do you have?
Transcript text: 2. Suppose at a particular restaurant you have eight choices for an appetizer, eleven choices for a main course, and five choices for dessert. If you are allowed to choose exactly one item from each category for your meal, how many different meal options do you have?
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Solution

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Solution Steps

To find the total number of different meal options, you need to multiply the number of choices for each category (appetizer, main course, and dessert). This is because each choice is independent of the others.

Step 1: Identify the Number of Choices for Each Category

We are given the following number of choices:

  • Appetizers: 8
  • Main courses: 11
  • Desserts: 5
Step 2: Calculate the Total Number of Different Meal Options

To find the total number of different meal options, we multiply the number of choices for each category: \[ \text{Total meal options} = 8 \times 11 \times 5 \]

Step 3: Perform the Multiplication

\[ 8 \times 11 = 88 \] \[ 88 \times 5 = 440 \]

Final Answer

\(\boxed{440}\)

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