College

Suppose a charity event serves a prix fixe dinner that consists of one item from each category:

1. Soup or salad (not both)
2. Appetizer
3. Entree
4. Dessert
5. Beverage

The restaurant is offering:

- Five kinds of soup
- Three kinds of salad
- Four kinds of appetizers
- Six entrees
- Five desserts
- Four beverages

How many different prix fixe dinners are possible?

Answer :

Answer:

3840

Step-by-step explanation:

Using the fundamental counting principle

The restaurant is offering five kinds of soup, three kinds of salad, four kinds of appetizers, six entrees, five desserts, and four beverages.

There are 5 independent events happening (5 prixe dinners)

(1) soup or salad (not both)

We have five kinds of soup, three kinds of salad

soup or salad (not both), = 5 + 3

= 8

(2) appetizer = 4

(3) entrees = 6

(4) dessert = 5

(5) Beverage = 4

Hence,

8 × 4 × 6 × 5 × 4

= 3840

The number of different prix fixe dinners are possible is 3840