Basic Counting Principle

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.7.EE.B.3

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.7.EE.B.3

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.7.EE.B.3

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.7.EE.B.3

A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?

• 12

• 80

• 28

• 1024

Tags

CCSS.3.OA.A.3

Find the total number of outcomes for picking a day of the week and a month of the year.

• 19
• 84
• 60
• 210

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.9

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?

• TW, CW, PW
• TW, TM, TC, CW, PW
• TW, TM, CW, CM, PW, PM
• TCP, MW

Tags

CCSS.3.OA.A.1

CCSS.3.OA.A.3

Mr. Perkinson has two boxes of candy. One has Reese's, Snickers and Twix. The other has Airheads, Blowpops and Nerds. Which of the following uses the Fundamental Counting Principle to show how many total possible choices there are?

• 2 X 3 = 6

• 3 X 3 = 9

• 3 + 3 = 6

• 9 X 1 = 9

Ms. Jones is making breakfast for her class. They can choose between OJ or Milk for a drink. They can choose between pancakes, waffles or eggs for their food. They can choose between bacon, sausage, hashbrowns or fruit for their side. Which of the following uses the fundamental counting principle to show all possible combinations of one drink, one food and one side?

• 2 X 3 X 4 = 24

• 6 X 4 = 24

• 1/24

• 2 + 3 + 4 = 9