Lesson Worksheet: 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.
Using the fundamental counting principle, determine the number of possible outcomes if the two shown spinners were spun.
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 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?
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.
A building has 7 doors labeled . In how many ways can a person enter and then leave the building?
Use the fundamental counting principle to find the total number of outcomes upon choosing a number from 1 to 28 and a vowel from the word COUNTING.
A fancy dress store has a selection of 8 pairs of pants and 2 shirts. Determine the number of ways someone can pick a pair of pants and a shirt.
In how many ways can a shirt and a hat be chosen, given 20 shirts and 13 hats to choose from?
Use the fundamental counting principle to determine the total number of outcomes of choosing (with the possibility of repetition) a password that begins with three letters followed by three numbers from 1 to 7. Assume the password can only contain lower case letters.