Fundamental Counting Principle

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

• 15
• 40
• 80
• 10

Tags

CCSS.7.NS.A.2

CCSS.7.NS.A.3

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

Tags

CCSS.7.NS.A.3

CCSS.7.EE.B.3

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

Tags

CCSS.7.NS.A.2

CCSS.7.NS.A.3

CCSS.7.EE.B.3

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

Tags

CCSS.7.NS.A.2

CCSS.7.EE.B.3

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

Tags

CCSS.7.NS.A.2

Find the total number of outcomes when choosing between vanilla, strawberry, chocolate or mint chocolate chip ice cream with fudge, butterscotch, strawberry or whipped topping, in a cone or a cup.

• 16
• 8
• 32
• 3

Tags

CCSS.5.OA.A.2

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.

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Use the fundamental counting principle to find the total number of outcomes (or outfits) if you have a suitcase with 5 different shirts, 3 types of jackets, 2 different pants, and 3 types of shoes.

• 13, because 5 + 3 + 2 + 3 = 13

• 120, because 5 x 4 x 3 x 2 =120

• 90, because 5 x 3 x 2 x 3 = 90

• 52, because (5 + 3 + 2 + 3) x 4 = 52

Tags

CCSS.HSS.CP.B.9

Use the fundamental counting principle to find the total number of possible outcomes for lunch if you can choose from 4 types of sides, 6 types of main entree, and 12 types of drinks.

• 3, because you are choosing 1 side, 1 entree, and 1 drink.

• 22, because 4 + 6 + 12 = 22

• 66, because (4 + 6 + 12) x 3 = 66

• 288, because 4 x 6 x 12 = 288

Tags

CCSS.7.NS.A.2

CCSS.7.NS.A.3

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

• 12
• 7
• 223
• 64

Tags

CCSS.5.NBT.B.5