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.
Q3:
Using the fundamental counting principle, determine the number of possible outcomes if the two shown spinners were spun.
Q5:
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?
Q7:
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?
Q8:
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.
Q9:
A building has 7 doors labeled . In how many ways can a person enter and then leave the building?
Q11:
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.
Q12:
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.
Q23:
In how many ways can a shirt and a hat be chosen, given 20 shirts and 13 hats to choose from?
Q25:
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.