An ice cream shop offers 3 ice cream flavors and 3 types of syrup, and 2 toppings for sundaes . How many different ways are there to make a sundae with one ice cream flavor, one type of syrup, and one topping.

Given:

Types of ice cream = 3

Types of syrup = 3

Toppings for sundaes = 2

To find:

The number of difference ways to make a sundae with one ice cream flavor, one type of syrup, and one topping.

Solution:

We have,

Total number of ways to select 1 form 3 ice cream flavor = 3 ways

Total number of ways to select 1 form 3 syrup = 3 ways

Total number of ways to select 1 form 2 toppings = 2 ways

Now, the total number of ways is

Therefore, the total number of difference ways to make a sundae with one ice cream flavor, one type of syrup, and one topping is 18.