12.1 Permutations and the Fundamental Counting Principle

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

• 15
• 40
• 80
• 10

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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

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CCSS.HSS.CP.B.9

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

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CCSS.HSS.CP.B.9

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?

• 36

• 64

• 720

• 46656

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CCSS.HSS.CP.B.9

Yummy-Yum has prepared cupcakes with five different toppings: sprinkles, coconut, chocolate chip, oreo crumbles, and M&M’s. In how many ways can they arrange three of the cupcakes in a display case?

• 60

• 125

• 15

• 12

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CCSS.HSS.CP.B.9

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12
• 60
• 15

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CCSS.HSS.CP.B.9

How many ways ways can you arrange the letters in the word math?

• 15
• 4
• 24

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CCSS.HSS.CP.B.9

What does the P stand for in _nP_r?

• Partners
• Positions
• Papers
• Permutations

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CCSS.HSS.CP.B.9

₇P₂

• 0
• 7
• 42
• 210

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CCSS.HSS.CP.B.9

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

• 1
• 3628800
• 100
• 1814400

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CCSS.HSS.CP.B.9