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?

Is this a Permutation or Combination?

• Permutation - the order of the songs matters

• Combination - the order of the songs does not matter

Tags

CCSS.HSS.CP.B.9

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!

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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!

Tags

CCSS.HSS.CP.B.9

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

Is this a Permutation or a Combination?

• Permutation - the order matters

• Combination - the order does not matter

Tags

CCSS.HSS.CP.B.9

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!

• $\frac{8}{40}=0.2$

• 8!

• 76904685

Tags

CCSS.HSS.CP.B.9

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?

Is this a Permutation or a Combination?

• Permutation - the order matters

• Combination - the order does not matter

Tags

CCSS.HSS.CP.B.9

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!

Tags

CCSS.HSS.CP.B.9

There are 15 racers running a race. There are medals for the first three racers to cross the finish line. How many ways are there to award medals to the first three racers?

Is this a Permutation or a Combination?

• Permutation - the order matters

• Combination - the order does not matter

Tags

CCSS.HSS.CP.B.9

There are 15 racers running a race. There are medals for the first three racers to cross the finish line. How many ways are there to award medals to the first three racers?

• $\frac{3}{15}=0.2$

• 3!

• 2730

• 15!

Tags

CCSS.HSS.CP.B.9