File:3-el permutation counting decisions.svg

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Summary

Description
English: To rearrange the letters ABC, systematically make three "choices", with the zeroth choice the decision between the three options for the first element. The "first" choice is to choose the second element, and there are 2 choices for each of those three initial choices (for the first element.) The second choice involves the second element, but since one element is already chosen, this introduces two choices. For example if A was selected to be the first letter, the second letter can be only B or C. For the third "choice" you have only one option. For example, once AC is selected, you must select B to create the ACB permutation.
Date
Source Own work
Author Guy vandegrift.

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Captions

Establishes that 3 items have 3!=6 permutations.

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1 September 2021

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30da13fc673b3c05cdf2f870d43a0a4de6ac8a67

104,180 byte

278 pixel

240 pixel

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Date/TimeThumbnailDimensionsUserComment
current11:20, 6 November 2021Thumbnail for version as of 11:20, 6 November 2021240 × 278 (102 KB)Guy vandegriftAlign 1st, 2nd, 3rd to fact that this is a decision tree.
18:06, 4 November 2021Thumbnail for version as of 18:06, 4 November 2021240 × 278 (102 KB)Guy vandegriftintegers to letters
02:45, 2 November 2021Thumbnail for version as of 02:45, 2 November 2021242 × 274 (124 KB)Guy vandegriftcolored the balls
04:14, 11 September 2021Thumbnail for version as of 04:14, 11 September 2021242 × 274 (121 KB)Guy vandegriftneed initial branch
19:39, 1 September 2021Thumbnail for version as of 19:39, 1 September 2021252 × 280 (112 KB)Guy vandegriftUploaded own work with UploadWizard

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