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The Nature of Mathematics – 13th Edition

Chapter 12

History 12-3

May 22, 2024July 17, 2015 by elaine

This is one of the best all around sites that I have found. It is titled “The MacTutor History of Mathematics Archive.”
http://www-history.mcs.st-and.ac.uk/~history

This is an award-winning site that links to all sorts of mathematics information.
http://archives.math.utk.edu/… See the whole entry

Categories Chapter 12, History

History 12-2

May 19, 2024July 17, 2015 by elaine

This is one of the best all around sites that I have found. It is titled “The MacTutor History of Mathematics Archive.”
http://www-history.mcs.st-and.ac.uk/~history

This is an award-winning site that links to all sorts of mathematics information.
https://mathshistory.st-andrews.ac.uk/HistTopics/History_overview… See the whole entry

Categories Chapter 12, History

History 12-1

May 19, 2024July 17, 2015 by elaine

This is one of the best all around sites that I have found. It is titled “The MacTutor History of Mathematics Archive.”
http://www-history.mcs.st-and.ac.uk/~history

This is an award-winning site that links to all sorts of mathematics information.
https://mathshistory.st-andrews.ac.uk/HistTopics/History_overview… See the whole entry

Categories Chapter 12, History

Homework Hints 12-4

May 23, 2024July 17, 2015 by elaine

Problems 1-2
Use the fact that one minute equals 60 seconds and one hour equals 60 minutes to carry out these calculations.

Problems 3-29
You will enjoy having your own Rubik’s cube when working these problems. See Example 2.

Problems … See the whole entry

Categories Chapter 12, Homework Hints Tags Rubik's, Rubik's Cube

Homework Hints 12-3

May 23, 2024July 17, 2015 by elaine

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 should spend … See the whole entry

Categories Chapter 12, Homework Hints Tags Combinations, Fundamental Counting Principle, Permutation

Homework Hints 12-2

May 23, 2024July 17, 2015 by elaine

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 should spend … See the whole entry

Categories Chapter 12, Homework Hints Tags Combinations, Permutation

Homework Hints 12-1

May 23, 2024July 17, 2015 by elaine

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

Categories Chapter 12, Homework Hints Tags Combinations, Permutations

Section 12.5: Review for Chapter 12

August 17, 2015July 17, 2015 by elaine

Studying for a chapter examination is a personal process, one which nobody else can do for you. Simply take the time to review what you have done.

Here are the new terms in Chapter 12.

Arrangement [12.1}
Binomial theorem [12.2}… See the whole entry

Categories Chapter 12, Essential Ideas

Section 12.4: Rubik’s Cube and Instant Insanity

September 25, 2015July 17, 2015 by elaine

12.4 Outline

  1. Rubik’s cube
    1. possible moves
    2. number of possibilities
    3. symmetries of a square
  2. Instant insanity
    1. possible moves
    2. number of possibilities

 

12.4 Essential Ideas

This is an enrichment section, and as such does not contain any essential ideas.… See the whole entry

Categories Chapter 12, Essential Ideas Tags Instant insanity, Rubik's Cube, Symmetries of a square

Section 12.3: Counting Without Counting

September 25, 2015July 17, 2015 by elaine

12.3 Outline

  1. Distinguish permutations and combinations
  2. License plate problem
  3. 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

Categories Chapter 12, Essential Ideas Tags Combinations, Counting without counting, Permutations
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