Mastering Factorials & Permutations: Grade 10 Challenge

A bakery has 5 different types of cupcakes. How many ways can the baker arrange 3 of these cupcakes on a display stand?

• 120

• 60

• 15

• 30

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

• 720

• 540

• 360

• 480

A sports team has 8 players. How many different ways can the coach choose 4 players to start the game?

• 28

• 84

• 56

• 70

A password consists of 4 different letters chosen from the alphabet. How many unique passwords can be formed?

• 358800

• 100000

• 12000

• 25600

A book club has 6 members. In how many ways can they arrange themselves in a line for a photo?

• 120

• 360

• 480

• 720

A committee of 3 is to be formed from a group of 7 people. How many different committees can be formed?

• 42

• 35

• 28

• 21

In a race with 12 participants, how many ways can the top 3 finishers be arranged on the podium?

• 1100

• 720

• 1320

• 1440

A restaurant offers 4 appetizers, 5 main courses, and 3 desserts. How many different meal combinations can a customer choose if they select one of each?

• 75

• 30

• 45

• 60

A school is organizing a talent show with 5 acts. How many different ways can the acts be scheduled if the first act must be a singer?

• 30

• 12

• 60

• 24

A library has 9 different books. How many ways can a student choose 3 books to take home if the order of selection matters?

• 504

• 36

• 120

• 27