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Billy is picking a sandwich, a snack, a dessert, and a drink for his lunch. He can have a ham, turkey, or salami sandwich; an apple, banana, or carrots for his snack; a cookie or brownie for his dessert; and apple or orange juice for his drink. How many different lunch combinations does Billy have to choose from?

Respuesta :

MrEquation
There are 36 different possibilities for his lunch. 

We can use the fundamental counting principal to solve this problem. We simply need to find the number of options for each part of the meal and multiply them.

Sandwich = 3
Snack = 3
Dessert = 2
Drink = 2

3 x 3 x 2 x 2 = 36

The total number of different lunch combinations which Billy have of picking a sandwich, a snack, a dessert, and a drink is 36.

What is combination?

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

Billy is picking a sandwich, a snack, a dessert, and a drink for his lunch. He can have,

  • A ham, turkey, or salami sandwich-Total 3 sandwiches.
  • An apple, banana, or carrots for his snack-Total 3 snacks.
  • A cookie or brownie for his dessert-Total 2 dessert items.
  • Apple or orange juice for his drink-total 2 types of drink.

Thus, the number of combination of picking a sandwich, a snack, a dessert, and a drink is,

[tex]C=3\times3\times2\times2\\C=36[/tex]

Thus, the total number of different lunch combinations which Billy have of picking a sandwich, a snack, a dessert, and a drink is 36.

Learn more about the combination here;

https://brainly.com/question/17139330

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