Questions: A restaurant offers a 12 dinner special that has 5 choices for an appetizer, 11 choices for an entrée, and 4 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert? A meal can be chosen in ways. (Type a whole number.)

Solution Steps

The restaurant offers a dinner special with 5 choices for an appetizer, 11 choices for an entrée, and 4 choices for a dessert. We need to determine the total number of different meals that can be created by selecting one appetizer, one entrée, and one dessert.

The Fundamental Counting Principle states that if there are \( n \) ways to do one thing, and \( m \) ways to do another, then there are \( n \times m \) ways to do both. This principle can be extended to more than two choices.

In this case:

• Number of ways to choose an appetizer: 5
• Number of ways to choose an entrée: 11
• Number of ways to choose a dessert: 4

Multiply the number of choices for each category: \[ \text{Total number of meals} = 5 \times 11 \times 4 \] \[ \text{Total number of meals} = 220 \]

Final Answer