Transcript The Fundamental Counting Principle

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Objective
Use multiplication to count outcomes
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
Example 1 Use the Fundamental Counting Principal
Example 2 Find Outcomes
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?
Shirts
Shorts
Shoes
red
beige
black
blue
green
brown
white
blue
yellow
Use Fundamental Counting Principle
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Shirts
Shirts
4
Shorts
Shorts Shoes
red
beige
black
blue
green
brown
white
blue
yellow
3
Write 1st category
Count how many
different shirts can be
used
Write 2nd category
Count how many
different shirts can be
used
1/2
Shirts
Shirts
4
Shorts
Shoes
3
Shorts Shoes
red
beige
black
blue
green
brown
white
blue
yellow
2
Write 3rd category
Answer:
total possible outfits = 24
Count how many
different shirts can be
used
Using the Fundamental
Counting Principle and
multiply the numbers
1/2
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?
Bread
Cheese
Meat
White
Wheat
Rye
American
Swiss
Mozzarella
Turkey
Ham
Roast Beef
Answer: Total Possible Sandwiches = 27
1/2
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.
A9
B 11
Violin
Cello
3
5
C 15
D 45
Write 1st category
Write number of
musicians trying out
Write 2nd category
Write number of
musicians trying out
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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.
A9
Violin
3
B 11
Cello

5
Oboe

45
3
C 15
D 45
Write 3rd category
Write number of
musicians trying out
Multiply numbers
Answer: D
Choose correct multiple
choice answer
2/2
*
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
Lesson 9:3
Assignment
The Fundamental Counting
Principle
5 - 14 All