Permutations in Action: Real-Life Arrangements Quiz

A teacher wants to arrange 5 different books on a shelf. How many different ways can she arrange the books?

• 60

• 120

• 30

• 24

In a race, 8 runners are competing. How many different ways can the top 3 finishers be arranged on the podium?

• 64

• 256

• 720

• 336

A pizza shop offers 4 different toppings. If a customer wants to choose 3 toppings for their pizza, how many different arrangements can they make?

• 5

• 6

• 4

• 10

A school is organizing a talent show with 6 different acts. How many ways can the acts be scheduled if the order matters?

• 360

• 480

• 720

• 120

A password consists of 4 different letters chosen from the alphabet. How many different passwords can be created if the order of letters matters?

• 10000

• 1200

• 25600

• 358800

In a class of 10 students, how many ways can a president, vice president, and secretary be chosen?

• 360

• 1000

• 720

• 540

A jewelry store has 5 different rings. If a customer wants to buy 3 rings, how many different ways can they choose and arrange them?

• 15

• 30

• 60

• 120

A committee of 4 members is to be formed from a group of 10 people. How many different ways can the committee be arranged if the order of selection matters?

• 120

• 210

• 720

• 5040

A sports team has 7 players. How many different ways can the coach arrange the players in a lineup?

• 3500

• 720

• 5040

• 1000

In a card game, a player can choose 5 cards from a deck of 52. How many different ways can the player arrange the cards they have chosen?

• 5000

• 311875200

• 1000000

• 120