Permutations and Combinations

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

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination
• permutation
• neither

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

• combination
• permutation
• neither

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

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

• combination
• permutation
• neither

Permutation, combination, or neither?
You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?

• combination
• permutation
• neither

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

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

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72

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

• 672
• 40
• 6720