Question

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.

Answer 1

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

`\text{Total ways}=3* 3* 2`

`\text{Total ways}=18`

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.