# Multiplication and Addition Counting Principles - PowerPoint PPT Presentation

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Multiplication and Addition Counting Principles. 8/13/09. Warm Up. Draw a tree diagram for the following problem. Show the sample space.

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Multiplication and Addition Counting Principles

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## Multiplication and Addition Counting Principles

8/13/09

### Warm Up

• Draw a tree diagram for the following problem. Show the sample space.

Shantae has a red pair of shoes, a blue pair of shoes and a green pair of shoes. She has a yellow purse and an orange purse. How many different ways can she wear one pair of shoes and one purse?

### The New Restaurant

Help the owner find the number of meal possibilities at his new restaurant.

### Automobile Choices

Think-Ink-Share

With a partner, make a list of possible choices for 3 brands, 2 types and 3 colors of automobiles.

Make a tree diagram to find the number of possible combinations.

Is there another way to find this number without making a tree diagram?

### Movie Popcorn

Try this tree diagram on your own and then check your work with a partner.

Choose 3 flavors and 4 sizes

### Coin Toss

• Try this tree diagram at home for additional practice (Home Work!!)

Types of coins would be penny, nickel, dime and quarter. Choose 3.

### Multiplication Counting Principle

If one event can occur in m ways and another event can occur in n ways, then the number of ways that both events can occur together is m x n.

This principle can be extended to three or more events.

### Multiplication Counting Principle

You are ordering a sub sandwich. You may choose meat: turkey, ham or roast beef. You may choose a slice of cheese: cheddar, american or swiss. You may choose either wheat or white bread.

Using the multiplication counting principle, how many different sandwich combinations are there?

### Multiplication Counting Principle

• How would you use the multiplication counting principle to find the number of possible automobile choices.

(Brand x Type x Color = #)

• Write similar equations for the popcorn and coin toss examples for additional practice. (H/W)

### Summarizer

• Answer the EQ in your notebook.

• How can I apply the multiplication counting principle to find the number of outcomes?

• Tommorow: Addition Counting Principle

(It’s even easier!!!)