# 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.