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Concepts are Containers

Imagine you had four identical carrier bags. How many ways are there arranging them within each other? Well within the parameters I am speaking of there are exactly nine possible arrangements:
The 9 patterns for 4 conceptual containers

For any number of such containers their are a set number of patterns in which they can be arranged. For example five containers may be arranged in a maximum of twenty such patterns.

These "Container Numbers" are related to Rooted Trees (Graph Theory).

Related:
http://sci.tech-archive.net/Archive/sci.math/2006-10/msg07283.html http://www.combinatorics.org/Surveys/ds5/VennSeparatingEJC.html

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Hi, I am James Barton the founder of VirtueScience and Author of "Inner Medicine" which details my discoveries regarding the virtues along with practical exercises to awaken natural virtue. I have a wide range of interests but the main focus of this site now is the virtues and character. Please join free to contribute to the blogs and forums.

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Sponsored Question: Daily Deals on eBay or Daily Deals on Amazon??
New Forums Character Improvement The Number Database The Physical Body World Events
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Scientific Theories Webmaster Tips and Tricks Financial Freedom Art, Music, Poetry
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