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Example 3-2c Objective Use multiplication to count outcomes

Example 3-2c Vocabulary Fundamental Counting Principle Uses multiplication of the number of ways each event in an experiment can occur to find the number of possible outcomes in a sample space

Lesson 3 Contents Example 1Use the Fundamental Counting Principal Example 2Find Outcomes

Example 3-1a CLOTHING The table below shows the shirts, shorts, and shoes in Gerry’s wardrobe. How many possible outfits can he choose consisting of one shirt, one pair of shorts, and one pair of shoes? ShirtsShortsShoes redbeigeblack bluegreenbrown whiteblue yellow Use Fundamental Counting Principle 1/2

Example 3-1b ShirtsShortsShoes redbeigeblack bluegreenbrown whiteblue yellow Shirts 4 Shorts 3 1/2 Write 1 st category Count how many different shirts can be used Write 2nd category Count how many different shirts can be used

Example 3-1b total possible outfits Answer: ShirtsShortsShoes redbeigeblack bluegreenbrown whiteblue yellow Shirts 4 Shorts 3 Shoes 2 = 24 1/2 Write 3rd category Count how many different shirts can be used Using the Fundamental Counting Principle and multiply the numbers

Example 3-1c SANDWICHES The table below shows the types of bread, types of cheese, and types of meat that are available to make a sandwich. How many possible sandwiches can be made by selecting one type of bread, one type of cheese, and one type of meat? BreadCheeseMeat White Wheat Rye American Swiss Mozzarella Turkey Ham Roast Beef Answer: Total Possible Sandwiches = 27 1/2

Example 3-2a MULTIPLE-CHOICE TEST ITEM An orchestra has one opening for a violinist, one opening for a cellist, and one opening for an oboist. Three musicians are trying out for violin, five for cello, and three for oboe. Find the number of ways the openings can be filled. A 9 B 11 C 15 D 45 2/2 Write 1 st category Violin Write number of musicians trying out 3 Write 2 nd category Cello Write number of musicians trying out 5

Example 3-2a MULTIPLE-CHOICE TEST ITEM An orchestra has one opening for a violinist, one opening for a cellist, and one opening for an oboist. Three musicians are trying out for violin, five for cello, and three for oboe. Find the number of ways the openings can be filled. A 9 B 11 C 15 D 45 2/2 Write 3 rd category Violin Write number of musicians trying out 3 Cello 5 Oboe 3 Multiply numbers  45 Choose correct multiple choice answer Answer: D

Example 3-2c MULTIPLE-CHOICE TEST ITEM The school student council is electing one president, one secretary, and one treasurer. There are four students running for president, three running for secretary, and five running for treasurer. Find the number of ways the positions can be filled. A 12 B 60 C 15 D 45 Answer: B * 2/2

End of Lesson 3 Assignment Lesson 9:3 The Fundamental Counting Principle All