Lesson Worksheet: The Fundamental Counting Principle Mathematics

In this worksheet, we will practice finding the number of all possible outcomes in a sample space using the fundamental counting principle.


An ice cream store offers 3 different cup sizes and 14 flavors. How many ways are there to buy a single flavor of ice cream?


Suppose 4 fair coins are tossed at the same time that these two spinners are spun. Using the fundamental counting principle, find the total number of possible outcomes.


A cafe offers a choice of 20 meals and 9 beverages. In how many different ways can a person choose a meal and a beverage?


A construction company currently has three active sites. There are 20 different ways to drive from site 𝐴 to site 𝐵. There are 16 ways to drive from site 𝐵 to site 𝐶. In how many ways can we drive from site 𝐴 to site 𝐶 visiting site 𝐵 on the way?


A restaurant serves 2 types of pie, 4 types of salad, and 3 types of drink. How many different meals can the restaurant offer if a meal includes one pie, one salad, and one drink?


How many ways can a committee of one man and one woman be formed from 83 men and 12 women?


Use the fundamental counting principle to find the total number of outcomes of rolling 4 number cubes and tossing 2 coins.


In a small town, there are 4 paths connecting the library and the post office, 5 paths connecting the post office and the bank, and 2 paths connecting the bank and the park. Determine the number of ways to walk from the library to the park.


A school gives three prizes for excellence. The short lists for the prizes contain 9 students, 7 students, and 6 students. In how many ways can the prizes be distributed?


A car dealership offers 73 different models of cars and 14 different colors. Determine the number of ways someone can pick a car in a single color.

Practice Means Progress

Boost your grades with free daily practice questions. Download Nagwa Practice today!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.