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
[tex]\text{Total ways}=3\times 3\times 2[/tex]
[tex]\text{Total ways}=18[/tex]
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.
