Quiz Permutations and Combinations

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

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

Tags

CCSS.HSS.CP.B.9

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?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

Which of the following is an example of combination?

• Form a passcode with 4 digits
• Students line up in a queue to assembly
• Choose 4 students in a class committee
• Choose the chairperson, secretary and treasurer in a club

Tags

CCSS.HSS.CP.B.9

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

Nate is on a 7-day vacation.  He plans to spend one day jet skiing and one day golfing.  How many ways can Nate schedule these 2 activities?

• 13
• 42
• 14

Tags

CCSS.HSS.CP.B.9

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 18
• 120
• 36

Tags

CCSS.HSS.CP.B.9

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272
• 4080
• 680

Tags

CCSS.HSS.CP.B.9

How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?

• 672
• 40
• 6720

Tags

CCSS.HSS.CP.B.9