Permutations and Combinations

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Tags

CCSS.HSS.CP.B.9

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

Tags

CCSS.HSS.CP.B.9

Which of the following situations is represented by this tree diagram?

• 3 shirt options, 6 pants options, and 12 shoe options
• 3 shirt options, 2 pants options, and 2 shoe options
• 2 shirt options, 3 pants options, and 1 shoe option

Tags

CCSS.HSS.CP.B.9

How many total outfit options are represented?

• 12
• 22
• 3

Tags

CCSS.HSS.CP.B.9

6! × 4!

• 17,280
• 30
• 15,625
• 80

₇P₂

• 0
• 7
• 42
• 210

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

7!

• 4050
• 5400
• 5040
• 4500

How many different four-person relay teams can be chosen from eight students?

• 24
• 1,680
• 70
• 40,320

Tags

CCSS.HSS.CP.B.9

There are nine varieties of muffins available at the Coffee Shop.  How many different ways can you choose three different muffins?

• 84
• 6
• 168
• 504

Tags

CCSS.HSS.CP.B.9