Combinations Archives - The Nature of Mathematics

Video Links 12-2

August 11, 2015July 17, 2015 by elaine

Videos:
Counting using Combinations (time: 9:56)

Combinations (time: 10:15)
… 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

Reference Topics 12-2

July 17, 2015 by elaine

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

A slightly more advanced discussion of combinations can be found here:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut57_comb_ans.htm… See the whole entry

Homework Hints 12-3

October 22, 2015July 17, 2015 by elaine

[tippy title=”Problems 1-2″]Problems 1-2
There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have “right” or “wrong” answers. You … See the whole entry

Homework Hints 12-2

October 22, 2015July 17, 2015 by elaine

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 12.2: Combinations

September 25, 2015July 17, 2015 by elaine

12.2 Outline

Committee problem
1. definition
2. combination formula
3. deck of cards
Pascal’s triangle
1. n choose r
2. table entries
Counting with the binomial theorem
1. binomial theorem
2. number of subsets

12.2 Essential Ideas

Combinations
A combination of r elements selected from a … See the whole entry