Fundamental Counting Principle

Ward Robe has 15 pairs of slacks and 23 shirts. In how many different ways could he select a slacks and shirt combination?

n ( slacks and shirt ) =

• 345

• 38

• 32

Natalie Attired has 20 dresses and 17 pants outfits. In how many different ways could she select a dress or a pants outfit to wear?

n (dress or pants) =

• 91

• 340

• 37

A salesman has 7 customers in Denver and 13 customers in Reno. In how many different ways could he telephone:

A customer in Denver and then a customer in Reno?

• 91

• 20

• 37

A pizza restaurant offers 12 kinds of meat toppings (pepperoni, sausage, etc.) and 5 kinds of vegetable toppings (onions, green peppers, etc.). In how many different ways could you select:

A meat toppings or a vegetable topping?

• 17

• 60

• 91

A salesman has 7 customers in Denver and 13 customers in Reno. In how many different ways could he telephone:

A customer in Denver or a customer in Reno?

• 19

• 37

• 20

A pizza restaurant offers 12 kinds of meat toppings (pepperoni, sausage, etc.) and 5 kinds of vegetable toppings (onions, green peppers, etc.). In how many different ways could you select:

A meat toppings and a vegetable topping?

• 17

• 60

• 91

You are buying a car and can choose from 2 different models and 4 different colors.

How many different cars could you purchase?

• 4

• 8

• 16

Tags

CCSS.HSS.CP.B.9

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

• 15
• 40
• 80

Tags

CCSS.HSS.CP.B.9

The Lunch Lounge offers three choices of bread: white, wheat, or rye; two choices of meat: ham or turkey; and two choices of toppings: mayo or mustard. Using this information answer the following:

Suppose a sandwich can consist of one choice of bread, one choice of meat, and one choice of topping. In how many ways can a customer create a sandwich using one bread choice, one meat type, and one topping choice?

• 12

• 7

• 21

At Honk If Your Broke Auto Sales 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
• 12
• 60

Tags

CCSS.HSS.CP.B.9