Fundamental Counting Principle

The fundamental counting principle

• Tells you the probability of an event.

• Tells you how many different possible outcomes there are.

• Helps you convert a fraction into a percent.

• Shows you the outcomes that don't appear in a tree diagram.

What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown or spotted?

• 2
• 4
• 6
• 8

Find the total number of outcomes for picking a day of the week and a month of the year.

• 19
• 84
• 60
• 210

If you roll a die then flip a coin, how many possible outcomes?

• 2
• 6
• 12
• 64

The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?

• 3 x 14 = 42

• 3 + 14 = 17

• 14 x 14 x 14 = 2744

• 14 x 13 x 12 = 2184

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

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

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 different 1-scoop ice cream cones can a customer order? 

• 34
• 2
• 3
• 93

If you roll two dice, how many possible outcomes?

• 360
• 1
• 36
• 12