The Fundametal Counting Principles

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30
• 17
• 90
• 270

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

• 7 because 2 + 3 + 2
• 12 because 2 x 3 x 2

Jacob is choosing an outfit from three pairs of jeans and three shirts.  The jeans are blue, black, and gray.  The shirts are white, blue, and yellow.  How many such outfits are possible?

• 3
• 6
• 9

What operation do you use with the Fundamental Counting Principle?

• Addition

• Subtraction

• Multiplication

• Division

If you flip a coin 7 times how many different possibilities are there? (Ex. 6 H 1 T or 4H 3T)

• 64

• 12

• 128

• 200

Which of the following situations is represented by this tree diagram?

• 3 shirt options, 6 pants options, and 12 shoe options
• 3 shirt options, 2 pants options, and 2 shoe options
• 2 shirt options, 3 pants options, and 1 shoe option

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6
• 12
• 24
• 36