Fundamental Principles of Counting

At Pizza Master'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 tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6

• 12

• 24

• 36

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

• 15

• 40

• 80

• 10

Sidar just started a new job. Her new employer offers 6 different health insurance options, 2 different dental plans and 4 different vision plans. She has to choose one health, one vision, and one dental plan. When comparing costs, she decides to make a table of all of the different possible choice outcomes. Which counting method should you use to calculate how many outcomes Sidar will have? How many outcomes are possible if Sidar chooses one health, one vision, and one dental plan?

• Fundamental Counting Principle; 48 different possible choice outcomes

• Permutations; 665,280 different possible choice outcomes

• Combinations; 220 different possible choice outcomes

• Permutations; 1,320 different possible choice outcomes

• Combinations; 924 different possible choice outcomes

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

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?

• 36

• 64

• 720

• 46656

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.   How many events are described here?

• 1

• 2

• 3

• 93

If you draw a random card from a standard deck of cards, how many possible outcomes?

• 13

• 26

• 52

• 54

If you roll two dice, how many possible outcomes?

• 360

• 1

• 36

• 12