Answer:
There are 24 different lunch specials in the sample space.
Step-by-step explanation:
Consider the provided information.
The choices for soup are chicken noodle or creamy potato.
The choices for sandwich are ham, turkey, tuna, or veggie.
The choices for drink are juice, coffee or tea.
A lunch menu consists of 2 different soups , 4 different sandwiches, and 3 different drinks.
Here, the order doesn't matter,
Suppose you are going to order a lunch, the number of ways you can select the soup is 2:
Now you are going to select the sandwich so the number of ways are:
<u>2</u> × <u>4</u>
You are going to select the drink so the number of ways are:
<u>2</u> × <u>4</u>× <u>3</u>
To find the number sample space for different lunch simply multiply all the numbers:
2 × 4× 3 = 24
Hence, there are 24 different lunch specials in the sample space.