Combinations and Permutations - Classroom

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84
• 504
• 9!
• 3!

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?

• 6!
• 120
• 20
• 3!

How would you solve?

A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

• Permutation

• Combination

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Combination

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720
• 120
• 10!

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462
• 55440
• 55
• 1000

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

• 336
• 56
• 24
• 100

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

• 220
• 36
• 1320
• 100

Max’s cell phone uses a three-digit pin to unlock it. How many different possible ways can he make a pin number using the digits 0-9?

• 90
• 729
• 27
• 1000