File:Combinations with repetition; 5 multichoose 3.svg
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Size of this PNG preview of this SVG file: 548 × 600 pixels. Other resolutions: 219 × 240 pixels | 439 × 480 pixels | 702 × 768 pixels | 936 × 1,024 pixels | 1,872 × 2,048 pixels | 626 × 685 pixels.
Original file (SVG file, nominally 626 × 685 pixels, file size: 701 KB)
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Summary[edit]
DescriptionCombinations with repetition; 5 multichoose 3.svg |
There's a bijection between
This file shows the bijection between
The first line represents the following correspondence between a 7-tuple, a 5-tuple and a 3-element multiset: (1,1,1,0,0,0,0) ≙ (3,0,0,0,0) ≙ {1,1,1} The scetches between 7- and 5-tuples are meant to be intuitive, and do not represent mathematical objects. |
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Source | Own work | ||
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Other versions | Printable version: File:Combinations with repetition; 5 multichoose 3.pdf |
Related files[edit]
without repetition | with repetition | |||
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variations (tuples) |
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combinations (sets) |
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Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following licenses:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
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- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
You may select the license of your choice.
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 18:49, 26 April 2011 | 626 × 685 (701 KB) | Watchduck (talk | contribs) | text into objects | |
17:45, 26 April 2011 | 626 × 685 (738 KB) | Watchduck (talk | contribs) | {{Information |Description= |Source={{own}} |Date=2011 |Author= Lipedia |Permission= |other_versions= }} == Licensing: == {{self|GFDL|cc-by-3.0}} Category:Combinatorics |
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File usage on Commons
The following 9 pages use this file:
- User:Watchduck/list
- File:Combinations with repetition; 5 multichoose 3.svg
- File:Combinations with repetition; 5 multichoose 3; grouped.svg
- File:Combinations without repetition; 5 choose 3.svg
- File:Variations with repetition; 5 multichoose 3.svg
- File:Variations with repetition; 5 multichoose 3; grouped.svg
- File:Variations without repetition; 5 choose 3.svg
- Template:Combinatorics; 5 choose 3
- Category:Combinations and variations (image set)
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