The Counting Principle and Permutations

A team of 8 basketball players needs to choose a captain and co-captain.

• 64
• 56
• 15
• 40,320

Tags

CCSS.HSS.CP.B.9

A group of 25 people are going to run a race. The top 8 finishers advance to the finals.

• 200
• 4.3609 x 10¹⁰
• 0
• 1,081,575

Tags

CCSS.HSS.CP.B.9

You go to Best Buy to purchase a new television. You have the following choices: LCD or plasma; screen size 27”, 32”, 36”, 41”, 51”, or 63” and manufacturer Sony, Vizio or Phillips. How many different televisions does the store have to offer? 

• 18
• 990
• 72
• 36

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.2

CCSS.7.NS.A.3

A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

• 135
• 85,140
• 14,190
• 91,125

Tags

CCSS.HSS.CP.B.9

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

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

Tags

CCSS.HSS.CP.B.9

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30
• 17
• 90
• 270

Tags

CCSS.HSS.CP.B.9

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

• 7 because 2 + 3 + 2
• 12 because 2 x 3 x 2

Tags

CCSS.HSS.CP.B.9

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

• fundamental counting principle
• experimental probability
• theoretical probability
• tree diagram

Tags

CCSS.HSS.CP.A.1