Question

A small restaurant has a menu with 2 appetizers, 5 main courses, and 3 desserts. (a) How many meals are possible if each includes an main course and a dessert, but may or may not include an appetizer? (b) What if the dessert is also not required?

Answer 1

Answer: a) 45 b) 60

Explanation:

Given : A small restaurant has a menu with 2 appetizers, 5 main courses, and 3 desserts.

a) Number of meals includes an main course , a dessert and a appetizer, :-

`2*5*3=30`

Number of meals includes an main course and a dessert and but not appetizer , then total possible meals:-

`5*3=15`

Then, the number of meals are possible if each includes an main course and a dessert, but may or may not include an appetizer= 30+15=45

b) Number of meals includes an main course and appetizer but not dessert:

`5*2=10`

Number of meals includes only main course =5

Now, the number of meals if dessert is also not required= 45+5+10=60