Permutations and Combinations

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players? (Positions do not matter)

• 462

• 55440

• 55

• 1000

Tags

CCSS.HSS.CP.B.9

There are 68 juniors at the high school. How many ways can they elect a class president, vice president, and secretary?

• 300696

• 317750

• 375

• 1953125

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

• 5040
• 35
• 28
• 840

Tags

CCSS.HSS.CP.B.9

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

• 336
• 56
• 24
• 100

Tags

CCSS.HSS.CP.B.9

If Lucas owns 11 hoodies, how many ways can he choose four to bring on vacation?

• 44

• 7920

• 330

• 121

Tags

CCSS.HSS.CP.B.9

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324
• 4896
• 816
• 54

Tags

CCSS.HSS.CP.B.9

A disc jockey 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!

Tags

CCSS.HSS.CP.B.9

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!

Tags

CCSS.HSS.CP.B.9

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

• 81
• 18
• 72

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9