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

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

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

• 6
• 12
• 24
• 36

Tags

CCSS.7.SP.C.8B

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

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Tags

CCSS.7.SP.C.8B

If you roll two dice, how many possible outcomes?

• 360
• 1
• 36
• 12

A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?

• 5 x 3 x 4 = 60

• 5 + 3 + 4 = 12

If I use the fundamental counting principle, how many different outcomes are there if I flip 4 different 2-sided coins?

• 8, because 4 x 2 = 8

• 6, because 4 + 2 = 6

• 16, because 2 x 2 x 2 x 2 = 16

• 256, because 4 x 4 x 4 x 4 = 256

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

A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?

• 5 x 3 x 4 = 60

• 5 + 3 + 4 = 12