Test Algebra 2 Permutations and Combinations

A DJ 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!

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

Is this a Permutation or a Combination?

• Permutation - the order matters

• Combination - the order does not matter

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!

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

• 40!

• 8!

• 76904685

The ski club has 10 members and is choosing three officers for the season. How many ways can they pick a captain, co-captain and secretary?

• 720

• 120

• 10!

• 3!

You have DVD collection with 20 DVDs. You can only take five DVDs with you on vacation. How many different sets of five DVDs can you take?

• 15504

• 20!

• 5!

How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?

• 6!

• 8!

• 4!

• 8

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15

• 40

• 80

• 10

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

• 90
• 100
• 12
• 24

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?

• 16

• 8

• 64

• 512