Permutations, Combinations, and Counting Principles Quiz

How many different types of pizzas can be made with 2 crusts, 3 sauces, and 39 toppings?

• 117

• 78

• 234

• 156

If a yogurt parfait is made with 2 yogurt flavors, 5 fruit toppings, and 3 nut toppings, how many combinations are possible?

• 60

• 45

• 15

• 30

How many unique passwords can be created with 4 digits and 2 letters, excluding 'a' and 'z'?

• 1,000,000

• 6,400,000

• 5,760,000

• 4,800,000

What is the value of 7 factorial (7!)?

• 2,520

• 1,260

• 720

• 5,040

In how many ways can a student government select 4 officers from a group of 6 people?

• 120

• 360

• 720

• 24

How many permutations are possible when arranging 5 out of 8 unique vases?

• 1,260

• 2,520

• 5,040

• 6,720

What is the main difference between permutations and combinations?

• Permutations consider order, combinations do not.

• Neither consider order.

• Combinations consider order, permutations do not.

• Both consider order.

How many ways can 4 cubes be drawn from a bag of 12 different colored cubes?

• 1,320

• 792

• 330

• 495

If a swim team has 8 swimmers, how many ways can 2 swimmers be selected for the first heat?

• 70

• 28

• 56

• 16

Which of the following is a correct representation of a combination calculation?

• 8P4

• 8C4

• 8P2

• 8C2