1. The Multiplication Principle
Section 6.3
The Multiplication Principle

2. The Multiplication Principle
If there are m ways of performing a task T1 and n ways of performing a task T2, then there are mn ways of performing task T1 followed by task T2.
Note: This generalizes to the multiplication principle involving more than two tasks.
Ex. A man has a choice of 8 shirts and 3 different pants. How many outfits can the man wear?
Considering shirts as task 1 and pants as task 2, we have 8(3) = 24 outfits

3. Ex. How many outcomes are possible for a game that consists of rolling a die followed by flipping a fair coin?
6 possibilities
2 possibilities
Total of 6(2) = 12 outcomes

4. Ex. An employee ID for a particular company consists of the employee’s first initial, last initial, and last four digits of his/her social security number. How many possible ID’s are there?
Each Initial has 26 possibilities (A–Z) and each digit has 10 possibilities (0–9)
26(26)(10)(10)(10)(10) =
different IDs possible