Download If one event can occur in m ways and a second event can occur in n

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
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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
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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
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May 8-1:12 PM
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