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 visit.

• 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 different Computer Programmer job positions. One is director. One is assistant director and one is a simple programmer.

• 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

What is the value of 7!

• 40320

• 36

• 362880

• 5040

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 two people from a 9-person task force?

• 81

• 18

• 72

• 36

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
• MPC