Fundamental Counting Principle and Factorial

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

• 42

• 17

• 2744

• 2184

The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?

• 256

• 24

• 16

• 10

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?

• 60

• 12

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

• 11232000

• 17576000

• 7862400

• 12812904

How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?

• 17576000

• 11232000

• 12812904

• 7862400

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

• 15
• 40
• 80
• 10

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.HSS.CP.B.9

In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?

• 6760

• 62

• 2600

• 6084

Tags

CCSS.HSS.CP.B.9

A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?

• 12

• 80

• 28

• 1024

Tags

CCSS.HSS.CP.B.9

8!

• 120

• 720

• 5040

• 40320