Question

A lunch menu has a 4-piece lunch special which consists of a sandwich, soup, dessert and drink. They offer the following choices for:

Sandwich: chicken, cheese and tomato, tuna, ham and lettuce, turkey
Soup: tomato, chicken noodle, vegetable
Dessert: ice-cream, piece of cake
Drink: tea, coffee, Coke, Sprite

How many possible meals are there?

Answer 1

There are 160 possible 4-piece lunch special meal.

Explanation:

The lunch menu has a 4-piece lunch special which consists of a sandwich, soup, dessert and drink.

The available options for the sandwiches, soups, desserts and drinks are:

Sandwich: chicken, cheese and tomato, tuna, ham and lettuce, turkey

Soup: tomato, chicken noodle, vegetable

Dessert: ice-cream, piece of cake

Drink: tea, coffee, Coke, Sprite

So, the number of options are:

n (Sandwich) = n (A) = 5

n (Soup) = n (B) = 4

n (Dessert) = n (C) = 2

n (Drink) = n (D) = 4

There are 5 ways to select a sandwich, 4 ways to select a soup, 2 ways to select a dessert and 4 ways to select a drink.

The total number of possible 4-piece lunch special is:

Total number of 4-piece lunch special = n (A) × n (B) × n (C) × n (D)

`=5*4*2*4\\=160\\`

Thus, there are 160 possible 4-piece lunch special meal.