Question

The lodhl diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are five appetizers, five soups, four main courses, and five desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?

Answer 1

Answer:   100

Step-by-step explanation:

Given : The lodhl diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert.

There are 5 appetizers, 5 soups, 4 main courses, and 5 desserts.

Also, a dessert and a appetizer are not allowed to take together.

By Fundamental counting principal ,

Number of three-course meals with dessert and without appetizer :

$5\times4\times5=100$      (1)

Number of three-course meals with appetizer and without dessert :

$5\times5\times4=100$      (2)

Now, the number of meals with either dessert or appetizer :-

$100+100=200$           [Add (1) and (2)]