A local restaurant is having a special every Thursday evening . You may choose an appetizer , entrée, and dessert for one low price. There are 5 appetizers to choose from, 12 entrées to choose from, and 4 desserts to choose from. How many different possible combinations would there be of one of each category ?


5
12
4
21
240

Respuesta :

240 because there is a lot of options

The answer is 240 different possible combinations would there be of one of each category

What is fundamental counting principle ?

The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation.

It states that if there are n ways of doing something, and m ways of doing another thing after that, then there are n × m n\times m n×m ways to perform both of these actions.

He can choose an appetizer 5 ways.

For each of those 5 ways to choose an appetizer,

he can choose an entree 12 ways.

That's 5*12 = 60 ways he can choose an appetizer and an entree.

For each of those 60 ways to choose an appetizer and an entree,

he can choose a dessert 4 ways.

That's 60*4 = 240 ways he can choose an appetizer, an entree,

and a dessert.

Therefore 240 different possible combinations would there be of one of each category .

To know more about fundamental counting principle

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