Section 6.3 – The Multiplication Principle
1
Section 6.3
The Multiplication Principle
Generalized Multiplication Principle
Suppose a task T
1
can be performed in N
1
ways, a task T
2
can be performed in N
2
ways,…, and
, finally a task T
n
can be performed in N
n
ways.
Then the number of ways of performing the
tasks T
1
, T
2
, …, T
n
in succession is given by the product
N
1
•
N
2
•
…
•
N
n
.
Example 1: You need to create a 4 digit password using only the digits 1 and 2. In how many
different can you select a password?
Example 2: How many 4letter words can be written by using the first 10 letters of the alphabet if
a) repetition is allowed?
b) repetition is not allowed?
Example 3:
A coin is tossed 3 times, and the sequence of heads and tails is recorded.
a.
Determine the number of outcomes of this activity.
b.
List the outcomes of this experiment by first drawing a tree diagram.
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Section 6.3 – The Multiplication Principle
2
Example 4:
The Burger Bar offers the following items on its menu:
Burger
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 Spring '08
 CONSTANTE
 Math, Multiplication, Comedy, Performing Arts, Numerical digit, Standup comedy, 4 digit, Multiplication Principle

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