1. The Counting Principle
Sect. 12-1
The Counting Principle

2. def: An independent event is when the choice of one does not effect the choice of the others.
The counting Principle:
If an event M can occur in m ways and is followed by independent N that can occur in n ways then the event can occur in ways.

3. 1. How many possible 10 digit phone numbers are possible if they can not begin with a zero?

4. 2. How many nice 4 letter words can be formed using the letters ABCD if each is used exactly once?

5. How many 2 digit numbers can be formed from 1,2,3,4, and 5 if repetitions are allowed?

6. Def: A dependent event is when the outcome of one event does effect the outcome of another event

7. Lets say you want to flip a coin and roll a die all at the same time
There are 2 ways you can flip a coin and 6 ways you can roll a die
There are ________________ ways you can both flip a coin and roll a die

8. Tara needs to choose a 4-digit PIN (personal identification number)
but she may not use any digit more than once. How many are possible?

9. How many ways can 12 appointments be arranged in a day?
(can’t repeat)

10. Assignment:
Page 715 # 3, 8 ,9, 10, 14, 15, 21, 22, 23, and 26