Factorial, Permutation and Combination

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

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

• 672

• 40

• 6720

How would you solve?
How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?

• Permutation

• Combination

• Factorial

• MPC

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

A DJ has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs? Is this a Permutation or Combination?

• Permutation - the order of the songs matters

• Combination - the order of the songs does not matter

A DJ has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84

• 504

• 9!

• 3!

The ski club has 10 members and is choosing three officers for the season. How many ways can they pick a captain, co-captain and secretary?

Is this a Permutation or a Combination?

• Permutation - the order matters

• Combination - the order does not matter

The ski club has 10 members and is choosing three officers for the season. How many ways can they pick a captain, co-captain and secretary?

• 720

• 120

• 10!

• 3!