Permutations and Combinations

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

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

• 1
• 30
• 5!
• 6!

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8
• 64
• 8!
• 56

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
• Factorial
• MPC

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!