Real-Life Permutations: Solve and Apply with Fun!

A school is organizing a talent show with 5 different acts. How many ways can the acts be arranged in the show?

• 30

• 240

• 60

• 120

A teacher wants to select 3 students from a class of 10 to represent the school in a competition. How many different ways can the teacher choose the students?

• 150

• 60

• 120

• 90

In a race, 8 runners are competing. How many different ways can the runners finish the race?

• 40320

• 48000

• 5000

• 10000

A chef is preparing a special dish using 4 different ingredients. How many different ways can the chef arrange these ingredients on a plate?

• 30

• 24

• 16

• 12

A book club has 6 members. If they want to form a committee of 4 members, how many different ways can they choose the committee?

• 10

• 20

• 12

• 15

A password consists of 3 letters followed by 2 digits. If the letters can be any of the 26 letters of the alphabet and the digits can be any of the 10 digits (0-9), how many different passwords can be created?

• 175760

• ABC12

• 123456

• ZZZ99

A sports team has 5 players. If the coach wants to select a captain and a vice-captain, how many different ways can the coach make this selection?

• 20

• 10

• 25

• 15

In a photography contest, 7 photos are submitted. How many different ways can the judges rank the photos from 1st to 7th place?

• 2500

• 1000

• 720

• 5040

A music festival has 4 different bands performing. How many different ways can the bands be scheduled to perform if each band performs once?

• 24

• 20

• 16

• 12

A group of friends is planning a movie night and wants to choose 3 movies from a list of 8. How many different ways can they select the movies?

• 36

• 42

• 56

• 24