Math 2C 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?
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

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

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625
• 4.36 X 10¹⁰
• 1,081,575

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

• 272
• 4080
• 680

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  

• 5,100,480
• 0
• 42,504
• 5.17 x 10²¹