Permutations and Factorials: Real-Life Scenarios Quiz

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

• 120

• 150

• 90

• 60

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

• 336

• 720

• 256

• 504

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

• 6

• 5

• 7

• 4

A school is organizing a talent show with 6 acts. How many different ways can the acts be scheduled if the first act must be a singer?

• 30

• 60

• 240

• 120

A committee of 4 students is to be formed from a group of 10 students. How many different ways can the committee be arranged?

• 100

• 120

• 210

• 45

In a password system, a user can choose 3 letters from the alphabet (A-Z) without repetition. How many different passwords can be created?

• 12000

• 20000

• 18000

• 15600

A sports team has 5 players. How many different ways can the coach select a captain and a vice-captain from these players?

• 20

• 10

• 25

• 15

A photographer is taking pictures of 7 friends. How many different ways can the friends be arranged for a group photo?

• 120

• 5040

• 720

• 42

A school is planning a field trip and has 5 different buses available. How many different ways can they assign 3 buses for the trip?

• 20

• 10

• 15

• 5

In a card game, a player can choose 4 cards from a deck of 52. How many different ways can the player arrange these 4 cards?

• 10400

• 13000

• 5200

• 6497400