Permutations+and+Combinations

=__**Objectives**__:=

Permutations

 * Video: **
 * Counting Using Permutations** (time: 10:29)
 * Permutations** (time: 10:10)


 * Reference Topic Links: **


 * Discusses the building of tree diagrams.**
 * @http://www.shodor.org/interactivate/discussions/pd8.html**


 * Permutations:**
 * @http://www.cut-the-knot.org/do_you_know/permutation.shtml**

**Permutation patterns:** **@http://www.blarg.net/~math/permutations.html**

Combinations

 * Video: **
 * Counting using Combinations** (time: 9:56)
 * Combinations** (time: 10:15)


 * Sophie Germain:**
 * @http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Germain.html**


 * Reference Topic Links: **

**http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut57_comb.htm**
 * Combinations:**


 * Another discussion of combinations can be found here:**
 * @http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut57_comb_ans.htm**

Counting without Counting

 * Reference Topic Links: **

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


 * A review of counting principles including the fundamental counting principle, permutations, combinations, and distinguishable permutations.**
 * This is the elementary version:**
 * @http://www.mathagonyaunt.co.uk/STATISTICS/ESP/Perms_combs.html**


 * This is a more advanced version:**
 * @http://www.richland.cc.il.us/james/lecture/m116/sequences/counting.html**

**This site shows a table contrasting the basic counting types of problems.** **@http://www.math.hawaii.edu/~ramsey/Counting.html**

**This (somewhat advanced) site is very good if you take some time to understand how to use it. By selecting the second object icon (at the top of the page), you go to an index page. From this index you can find information on permutations, combinations, or distinguishable permutations.** **@http://www.theory.csc.uvic.ca/~cos/root.html**

Rubik's Cube and Instant Insanity

 * Video: **
 * PHow to Solve Rubik's Cube - Part I** (time: 6:32)
 * How to Solve Rubik's Cube - Part II** (time: 5:49)
 * Instant Insanity Commercial** (time: 0.32)


 * Reference Topic Links: **


 * Online Rubik's Cube:****
 * **http://neil.rashbrook.org/rubik/****

**http://www.randelshofer.ch/rubik/patterns.html**
 * Design your own cube:**

**Information on Rubik's Cube:** **@http://webplaza.pt.lu/public/geohelm/myweb/cubeold.htm**

**Online Instant Insanity Puzzle:** **@http://mysite.verizon.net/msmammek/markspuz.html**


 * Rubik's Cube in four dimensional version**
 * @http://www.superliminal.com/cube/cube.htm**