Counting Principle Easy

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

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

• 15

• 40

• 80

• 10

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

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

Sidar just started a new job. Her new employer offers 6 different health insurance options, 2 different dental plans and 4 different vision plans. She has to choose one health, one vision, and one dental plan. When comparing costs, she decides to make a table of all of the different possible choice outcomes. Which counting method should you use to calculate how many outcomes Sidar will have? How many outcomes are possible if Sidar chooses one health, one vision, and one dental plan?

• Fundamental Counting Principle; 48 different possible choice outcomes

• Permutations; 665,280 different possible choice outcomes

• Combinations; 220 different possible choice outcomes

• Permutations; 1,320 different possible choice outcomes

• Combinations; 924 different possible choice outcomes

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

Jacob is choosing an outfit from three pairs of jeans and three shirts.  The jeans are blue, black, and gray.  The shirts are white, blue, and yellow.  How many such outfits are possible?

• 3

• 6

• 9

The student council is selling sweatshirts with the school name and emblem.  The shirts come in colors, styles, and sizes.  There are 3 colors (white, gray, black); 2 styles (hooded, crew); and 3 sizes (small, medium, large).  How many different types of sweatshirts are available?

• 11

• 18

• 9

A student can choose one sandwich, one salad,  and one piece of fruit in the cafeteria.  The choices include the following: grilled cheese sandwich, hamburger, tuna sandwich, garden salad, fruit salad, apple, banana, and orange.  How many different lunches are possible?

• 18

• 8

• 24

In a given calling area, telephone numbers have the same first 3 digits.  The four-digit number that follows is different for each telephone number.  How many numbers are possible?

• 10, 000

• 1, 000

• 4