Answered

A three course meal includes an appetizer, a main course and a dessert. A restaurant offers 2 kinds of appetizer, four kinds of main courses, and five kinds of dessert.


How many different three course meals can be made?


A11
B20
C22
D33

E.40

Verified Answer :

The answer is c, I belive

The different three course meals can be made 24.

What is permutation and combinations?

"Permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor."

We have

Appetizer = 2 kinds

Main course = 4 kinds

Dessert = 5 kinds

Three possible outcomes of course meals

1. 1 appetizer from 2 appetizers

AND

2.1 main course from 4 main courses

AND

3.1 dessert from 3 desserts

Notice how I have capitalized AND. It is because AND is a key word here.

Now what we have to do is get individual selection from the 3 cases and multiply them.

Remember one thing , AND means multiply and OR means add (For eg. if you had said to choose either one main course OR one dessert, then we would have added the selections)

For 1. , selections = \(2C_{1}\) = 2

For 2. , selections = \(4C_{1}\) = 4

For 3. , selections = \(3C_{1}\) = 3

Total possibilities = 2×3×4 = 24

Hence, the different three course meals can be made 24.

Learn more about Permutations and combinations here

https://brainly.in/question/13829008

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