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.
Q1:
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?
Q2:
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.
Q3:
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?
Q4:
A construction company currently has three active sites. There are 20 different ways to drive from site to site . There are 16 ways to drive from site to site . In how many ways can we drive from site to site visiting site on the way?
Q5:
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?
Q6:
How many ways can a committee of one man and one woman be formed from 83 men and 12 women?
Q7:
Use the fundamental counting principle to find the total number of outcomes of rolling 4 number cubes and tossing 2 coins.
Q8:
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.
Q9:
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?
Q10:
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.