Transcript Chapter 9 Lesson 3

Chapter 9
Lesson 3
The Fundamental Counting
principle
Objective: Use multiplication to count
outcomes
The jean factory sells juniors’ jeans in different
sizes and lengths. The table shows what is
available.
1. According to the table, how
many sizes of juniors are there?
2. How many lengths are
there?
Sizes
length
3
Petite
5
Regular
7
Tall
9
3. Find the product of the two
numbers you found in
numbers 1 and 2.
11
13
15
4. Draw a tree diagram to find
the number of different size
and length combinations?
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
A famous steak house allows customers to create
their own steak dinners. The choices are shown.
How many different steak dinners are possible?
Steak
How steaks
Potatoes
are cooked
NY strip
Rare
Ribeye
mashed
medium
Filet
baked
well
twice baked
Porterhouse
Au gratin
T-Bone
Types of
# of ways
Steak
to cook
5
x
3
types
total number
of potatoes
x
4
of steak dinners
=
60
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
number
of shirts
number
of shorts
number
of shoes
total
number
of outfits
4
3
2
24
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.
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: 27
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
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.
Solve the Test Item
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
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
Answer: B
B 60
C 15
D 45
Class work
Complete numbers
9 – 15 on page 380
Homework
Page 380 numbers 10 – 16 even