fUNdAMENTAL pRINCIPLE OF COUNTING.pptx

mathematics 8

1. The Fundamental Principle of Counting If one thing can occur in m ways and a second thing can occur in n ways, and a third thing can occur in p ways, and so on, then the sequence of things can occur in m x n x p....ways.

2. Example 1 Double O’s Cafe’ serves two desserts: a cake and a pie. They also serve three beverages: coffee, tea, and juice. Suppose you choose one dessert and one beverage. How many possible outcomes are there?

3. Example 2 Rene Alarcon is a disc jockey. He chooses different types of records for each hour of his three-hour program. The possible choices are listed below. How many possible outcomes are there? First Hour Rock Folk Second Hour Instrumental Jazz Third Hour Opera Classical

4. Example 3 A plate number is made up of three letters from English alphabet followed by three digits. How many plate numbers are possible to form it. a. the letters and digits can be repeated in the same plate number? b. the letters and digits cannot be repeated in the same plate number?

5. Example 4 Three coins are tossed. How many outcomes are possible?

6. QUIZ 1. Double O’s Cafe serves three desserts: a cake, a salad, and a pie. They also serve three beverages: cola, coffee, tea and juice. Suppose you choose one dessert and one beverage. How many possible outcomes are there?

7. QUIZ 2. Rene Alarcon is a disc jockey. He chooses different types of records for each hour of his three-hour program. The possible choices are listed below. How many possible outcomes are there? First Hour Rock Folk Second Hour Instrumental Jazz Pop Third Hour Opera Classical Rap Techno

8. Quiz 3. A plate number is made up of two letters from English alphabet followed by three digits. How many plate numbers are possible to form it. a. the letters and digits can be repeated in the same plate number? b. the letters and digits cannot be repeated in the same plate number?

9. Quiz 4. Four coins are tossed. How many outcomes are possible?