Explain how to use the Fundamental Counting, algebra homework help

Use the information on

page 704

to explain how you can count the maximum number of license plates a state can issue. Explain how to use the Fundamental Counting Principle to find the number of different license plates in a state such as Oklahoma, which has 3 letters followed by 3 numbers. Also explain how a state can increase the number of possible plates Without increasing the length of the plate number.

JAN FLORIDA 02
Main Ideas
. Suhe problems
inling independent
events
Sohe problems
imaling dependent
Ps
GET READY for the Lesson
The number of possible license
plates for a state is too great to
count by listing all of the
possibilities. It is much more
efficient to count the number of
possibilities by using the
Fundamental Counting Principle.
XXF 466
BROWARD
New Vocabulary
outcome
samplece
event
independent events
Fundamental Courting
Principle
dependent events
Independent Events An outcome is the result of a single trial. For
example, the trial of flipping a coin once has two outcomes head or tail.
The set of all possible outcomes is called the sample space. An event
consists of one or more outcomes of a trial. The choices of letters and
digits to be put on a license plate are called independent events because
each letter or digit chosen does not affect the choices for the others
EXAMPLE Independent Events
FOOD A sandwich cart offers customers a choice of hamburger,
chicken, or fish on either a plain or a sesame seed bun. How many
different combinations of meat and a bun are possible?
First, note that the choice of the type of meat does not affect the choice
of the type of bun, so these events are independent.
Method Tree Diagram
I represents hamburger, C. chicken, F, fish, P, plain, and S, sesame seed.
Meat
Bun
S
Р
S
P
HS
CS
Reading Math
There are both infinite
and file sample spaces
Tinte sample spaces have
a countable number of
possible outcomes such
rolling a die. Inte
sample spaces have a
uncourable number of
possible outcomes, such
as the probability of
point on a line
Bus
Possible Combinations HP
СР
FP FS
Method 2 Make a Table
Make a table in which each row
Plain Sesame
represents a type of meat and each
Hamburger HP MS
column represents a type of bun.
Meal Chicken
cs
There are six possible outcomes
FS
CHECK Your Progress
1. A cafeteria offers drink choices of water, coffee, juice, and milk and
salad choices of pasta, fruit, and potato. How many different
combinations of drink and salad are possible?
Be