Permutation 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!

Tags

CCSS.HSS.CP.B.9

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

• 90
• 100
• 12
• 24

Tags

CCSS.HSS.CP.B.9

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

• 720

• 6

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

• 720

• 120

• 20

• 6

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

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

• Factorial

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!

Tags

CCSS.HSS.CP.B.9

Permutation, combination, or neither?

A strategic batting order for seven players on a 12 person team.

• combination

• permutation

• neither

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9