1. Chapter 9 Lesson 3 The Fundamental Counting principle Objective: Use multiplication to count outcomes

2. The jean factory sells juniors’ jeans in different sizes and lengths. The table shows what is available. Sizeslength 3 Petite 5 Regular 7 Tall 9 11 13 15 1. According to the table, how many sizes of juniors are there? 2.How many lengths are there? 3.Find the product of the two numbers you found in numbers 1 and 2. 4.Draw a tree diagram to find the number of different size and length combinations?

3. 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. Instead of using a tree diagram – just finds the number of outcomes

4. A famous steak house allows customers to create their own steak dinners. The choices are shown. How many different steak dinners are possible? SteakHow steaksPotatoes are cooked NY strip Raremashed Ribeye mediumbaked Filet welltwice baked PorterhouseAu gratin T-Bone 5x3x 4= 60 Types of # of ways types total number Steakto cookof potatoesof steak dinners

5. 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?ShirtsShortsShoesredbeigeblack bluegreenbrown whiteblue yellow

6. Example 3-1b number of shirts number of shorts number of shoes total number of outfits 43224 Check You can check your work by drawing a tree diagram and listing the 24 outcomes. Answer: There are 24 possible outfits that Gerry can choose.

7. 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?BreadCheeseMeatWhiteWheatRyeAmericanSwissMozzarellaTurkeyHam Roast Beef Answer: 27

8. 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 Read the Test Item To find the number of ways the openings can be filled, multiply the number of musicians trying out for violin, cello, and oboe.

9. Example 3-2b There are 3 musicians trying out for violin, 5 for cello, and 3 for oboe. So, there are or 45 ways the openings can be filled. Answer: D Solve the Test Item

10. 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

11. Class work Complete numbers 9 – 15 on page 380

12. Homework Page 380 numbers 10 – 16 even