Permutations and Combinations with Probability

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!

A group of 25 people are going to run a race. The top 8 finishers advance to finals. How many different combinations can there be?

• 625

• 4.36 X 10¹⁰

• 1,081,575

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

• 5040

• 35

• 28

• 840

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

• 81

• 18

• 72

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 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