Video Links 12-1
Videos:
Counting Using Permutations (time: 10:29)
Permutations (time: 10:10)
… See the whole entry
Permutations
Reference Topics 12-3
Here is a comparison of permutations and combinations.
http://www.mathsisfun.com/combinatorics/combinations-permutations.html
Homework Hints 12-1
Problems 1-2
These problems provide the main ideas for this section.
Be sure you know the formula for combinations.
Problems 3-32
Use the formula for permutations to answer these questions. See Examples 5, 6 and 9.
Problems 33-42
These are … See the whole entry
Section 12.3: Counting Without Counting
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
12.1 Outline
- Election problem
- tree diagram
- fundamental counting principle
- arrangement
- ordered pair/ordered triple
- define permutation
- notation for permutations
- evaluating permutations
- Factorial
- definition
- multiplication property of factorials
- count-down property
- permutation formula
- Distinguishable permutations
- indistinguishable items
- distinguishable items
- formula for distinguishable permutations