Multiplication and Addition Counting Principles

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Multiplication and Addition Counting Principles

• 8/13/09

2
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?

3
The New Restaurant

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

4
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?

5
Movie Popcorn

• Try this tree diagram on your own and then check
  your work with a partner.
• Choose 3 flavors and 4 sizes

6
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.

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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. 

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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?

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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)

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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
• (Its even easier!!!)