How many different sundaes can be made with one flavor of ice cream and

one topping?

Scott’s Ice Cream Sundaes come in 5 flavors with 4 possible toppings.

In this lesson you will learn how to find the total number of possible combinations by using

the Fundamental Counting Principle.

Let’s Review

Table

HH HTTH TT

H THT H

T

HT

HT

Tree Diagram ( H,H )( H, T )( T, H )( T, T )

Organized List

A Common Mistake

Total Possibilities: 9

1 2 34

56

78

9

P(Yellow)=

Total Possibilities: 8

Core Lesson

Fundamental Counting Principle:

If there are a ways for one activity to occur, and b ways for a second then there are a x

b combinations.

Core Lesson

1

2

3

4

1 2 3

12 different outfits can be

warn.

Core Lesson

5 ice cream flavors x 4 toppings= 20

20 different ways to order a sundae at Scott’s Sundae Shop.

Core Lesson

There are five players lining up to go on the baseball field. How many possible

line combinations are there?

In this lesson you have learned how to find the total number of possible combinations by using

the Fundamental Counting Principle.

Guided Practice

Logan needs to spin an 8 sectioned spinner and roll a die to win a free baseball cap. How many possible combinations are there in this situation?

Extension Activities

Have students come up with their own example of a situation that involves combinations and use the Fundamental Counting Principle to figure out how many different combinations there are. Then have the students make a table or list that confirms their answer.

Extension Activities

Do a consensus placemat in which four students take a corner of a large piece of chart paper and they must write their own explanations of the Fundamental Counting Principle. Then the group of four must come to a consensus and place their group definition in the center of the placemat.

Quick Quiz

Alan tosses a quarter and then rolls a six-sided number cube. What is the total number of outcomes for this event?Samantha is trying to arrange her 7 art projects projects for the art gallery. How many possible combinations does Samantha have for displaying her art?