Fundamental Counting Principle and Factorials.notebook
April 22, 2014
Apr 22­8:36 AM
Today's Agenda:
­ Course Outline
­ Intro to Counting:
­ Fundamental Counting Principle
­ Permutations
­ Combinations
Apr 16­1:27 PM
1
Fundamental Counting Principle and Factorials.notebook
April 22, 2014
Example:
If you have three shirts (a red one, a blue one and a black one) and four pairs of pants (jeans, khakis, dress pants and capris), how many different outfits can you make?
Apr 16­1:40 PM
Example:
If you order a sundae in a certain ice cream parlor, you may pick one scoop of ice cream: either vanilla, chocolate, strawberry or peppermint. You can then top the sundae with one kind of syrup: butterscotch, marshmallow or cherry. How many different types of sundaes could you order?
Apr 16­1:29 PM
2
Fundamental Counting Principle and Factorials.notebook
April 22, 2014
Example:
Sarah goes to her local pizza parlor and orders a pizza. She can choose either a large or a medium pizza, has a choice of three different crusts (deep dish, thin or stuffed crust), and can have seven different choices of toppings (pepperoni, onions, mushrooms, olives, pineapple, green peppers or bacon). How many different pizzas could Sarah order?
Apr 16­1:41 PM
Example:
Simon visits his local fast­food restaurant and orders a burger, a side, a drink and an ice cream. He can choose either a hamburger, a cheeseburger or an eggburger; he can choose either fries or salad as a side; he can choose one drink from coke, lemonade, orange or raspberry; and for his ice cream he can choose either a cone or a sundae. How many different possible meals could Simon choose?
Apr 16­1:45 PM
3
Fundamental Counting Principle and Factorials.notebook
April 22, 2014
Example:
Derek must choose a four­digit PIN number. Each digit can be chosen from 0 to 9. How many different possible PIN numbers can Derek choose?
Apr 16­1:45 PM
The Fundamental Counting Principle
Worksheet: Fundamental Counting Principle
Apr 16­1:28 PM
4
Fundamental Counting Principle and Factorials.notebook
April 22, 2014
Apr 22­9:34 AM
Apr 22­9:42 AM
5
Fundamental Counting Principle and Factorials.notebook
April 22, 2014
Apr 22­9:46 AM
Apr 22­9:51 AM
6
Fundamental Counting Principle and Factorials.notebook
April 22, 2014
Apr 22­10:31 AM
Factorial Notation
Apr 16­2:24 PM
7
Fundamental Counting Principle and Factorials.notebook
April 22, 2014
Apr 22­10:39 AM
Apr 22­10:52 AM
8