Questions: A restaurant offers a 12 dinner special that has 7 choices for an appetizer, 10 choices for an entrée, and 5 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.)

A restaurant offers a 12 dinner special that has 7 choices for an appetizer, 10 choices for an entrée, and 5 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.)

Transcript text: A restaurant offers a $\$ 12$ dinner special that has 7 choices for an appetizer, 10 choices for an entrée, and 5 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 $\square$ ways. (Type a whole number.)

Solution

Solution Steps

Step 1: Identify the number of choices for each category

The problem states that there are:

7 choices for an appetizer,
10 choices for an entrée, and
5 choices for a dessert.

Step 2: Apply the Fundamental Counting Principle

To find the total number of different meals, multiply the number of choices for each category: \[ \text{Total number of meals} = \text{Appetizer choices} \times \text{Entrée choices} \times \text{Dessert choices} \]

Step 3: Calculate the total number of meals

Substitute the given values into the equation: \[ \text{Total number of meals} = 7 \times 10 \times 5 \] \[ \text{Total number of meals} = 350 \]