Combinations & Permutations

How would you solve?

How many different arrangements of 4 letters get from letters A, B, C, D, and E?

• ₅P₄

• ₅C₄

• 5 x 4

• 4!

How would you solve?
A book club offers a choice of 8 books from a list of 40.  In how many ways can a member make a collection?

• ₄₀P₈

• ₄₀C₈

• 8!

• Multiply 8 & 40

Seven students worked together on a project.

How many ways can their teacher choose four to

present the project?

• Permutation

• Combination

How many different ways can 9 trumpet players in the marching band line up?

• Permutation

• Combination

How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?

• Permutation

• Combination

How many ways can 13 students line up for lunch?

• Permutation

• Combination

How many ways can 12 swimmers finish in first,

second, and third place?

• ₁₂P₃

• ₁₂C₃

You have enough tickets to play 6 different games

at the amusement park. If there are 14 games,

how many ways can you choose six?

• Permutation

• Combination

An amusement park has 15 games and 10 roller coasters. How many different groups of activities can someone do if they decide they want to ride 7 roller coasters and play 5 games?

• 15C5 x 10C7

• 15C7 x 10C5

• 15C10 x 7C5

• 15 x 10 x 7 x 5

• 15! x 10!

There are 18 offensive players on the hockey team. How many ways can the coach choose a left wing, center, and right wing to start the game?

• Permutation

• Combination