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Section 15.5: Fundamental Counting Principle Fundamental Counting Principle: If one event can occur in m ways and a second event can occur in n ways, then the number of ways the two events can occur in sequence is m • n Mutually Exclusive: Two events A and B are mutually exclusive if A and B cannot occur at the same time Algebra 2: Section 15.5 1 Section 15.5: Fundamental Counting Principle Example #1: Pat's Pizza will prepare pizza with a thin crust, a thick crust, or in deep-dish style. There are 8 choices of toppings (pepperoni, bacon, sausage, hamburger, anchovies, olives, peppers, mushrooms). In how many ways can you choose a one-topping pizza? Example #2: The access code for a car's security system consists of four digits. Each digit can be 0 through 9. How many access codes are possible if: a) each digit can be used only once and not repeated? b) each digit can be repeated? Algebra 2: Section 15.5 2 Section 15.5: Fundamental Counting Principle Example #3: How many odd numbers between 10 and 1000 start and end with the same digit? Example #4: How many license plates of 2 symbols (letters and digits) can be made using at least one letter in each? Example #5: Amy can take one of 3 busses to work or she can ride one of 2 trains and then walk along one of 4 different streets from the train station to her office. In how many ways can she go to work? Algebra 2: Section 15.5 3 May 8-1:12 PM 4