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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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?
Help the owner find the number of meal possibilities at his new restaurant.
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?
Try this tree diagram on your own and then check your work with a partner.
Choose 3 flavors and 4 sizes
Types of coins would be penny, nickel, dime and quarter. Choose 3.
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.
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?
(Brand x Type x Color = #)
(It’s even easier!!!)