Permutations Archives - The Nature of Mathematics

Video Links 12-1

August 11, 2015July 17, 2015 by elaine

Videos:
Counting Using Permutations (time: 10:29)

Permutations (time: 10:10)
… See the whole entry

Reference Topics 12-3

December 11, 2020July 17, 2015 by elaine

Here is a comparison of permutations and combinations.
http://www.mathsisfun.com/combinatorics/combinations-permutations.html

A review of counting principles including the fundamental counting principle, permutations, combinations, and distinguishable permutations.
http://www.richland.cc.il.us/james/lecture/m116/sequences/counting.html

… See the whole entry

Homework Hints 12-1

October 22, 2015July 17, 2015 by elaine

[tippy title=”Problems 1-2″]Problems 1-2
These problems provide the main ideas for this section.
Be sure you know the formula for combinations.[/tippy]

[tippy title=”Problems 3-32″]Problems 3-32
Use the formula for permutations to answer these questions. See Examples 5, 6 and 9.[/tippy]… See the whole entry

Section 12.3: Counting Without Counting

September 25, 2015July 17, 2015 by elaine

12.3 Outline

Distinguish permutations and combinations
License plate problem
Which method?

12.3 Essential Ideas

Fundamental Counting Principle
If one task can be performed in m ways, and if, after that task is completed, a second task can be performed in … See the whole entry

Section 12.1: Permutations

September 29, 2015July 17, 2015 by elaine

12.1 Outline

Election problem
1. tree diagram
2. fundamental counting principle
3. arrangement
4. ordered pair/ordered triple
5. define permutation
6. notation for permutations
7. evaluating permutations
Factorial
1. definition
2. multiplication property of factorials
3. count-down property
4. permutation formula
Distinguishable permutations
1. indistinguishable items
2. distinguishable items
3. formula for distinguishable permutations

… See the whole entry