Mastering Permutations

What is a permutation?

• A permutation is an arrangement of objects where the order matters.

• A permutation is a grouping of objects into sets without regard to order.

• A permutation is a type of mathematical function.

• A permutation is a selection of objects where the order does not matter.

How many ways can you arrange 3 books on a shelf?

• 3

• 9

• 12

• 6

If you have 5 different colored balls, how many ways can you arrange them?

• 60

• 240

• 120

• 30

If you have 6 students and want to select a president and a vice president, how many ways can this be done?

• 30

• 12

• 24

• 36

A teacher selects 4 students from a group of 10 to stand in a line for a presentation. In how many different ways can the students be arranged? Does the order of selection matter?

• Yes

• No

In a debate competition, there are 5 judges who will be assigned to 3 specific positions (Chief Judge, Timekeeper, and Assessor). How many different ways can the judges be assigned to these positions? Permutation or not?

• Permutation

• Not

A shop offers 8 flavors of ice cream. A customer wants to order a cup with 3 different flavors.

Permutation or Not?

• Permutation

• Not

A security system requires a 4-digit code, where each digit is chosen from 0 to 9, and no digit can be repeated. How many different codes can be formed?

Does the order of digits matter?

• Yes

• No