File:Colored circle starsbars 1.svg
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 384 × 521 pixels. Other resolutions: 177 × 240 pixels | 354 × 480 pixels | 566 × 768 pixels | 755 × 1,024 pixels | 1,509 × 2,048 pixels.
Original file (SVG file, nominally 384 × 521 pixels, file size: 233 KB)
Captions
Captions
Illustrates stars, bars, and gaps for a simple example of counting compositions of 4 with 3 non-zero terms.
Summary[edit]
| Description |
English: Four cookies are distributed between Tom, Dick, and Harry in such a way that each gets at least one cookie. The 4 cookies are traditionally represented as "stars" (****). But here, they are shown as cookie-colored circles (●●●●). The 3 gaps between the cookies are indicated by red caret symbols (^ ^ ^). With three people, we need 2 bar symbols (| |) to occupy any two of the three gaps. Hence the problem reduces to finding the binomial coefficient, also known as combination "3-choose-2". Also shown are the three corresponding 3-compositions of 4. |
| Date | |
| Source | Own work |
| Author | Guy vandegrift |
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- 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.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 04:43, 30 October 2021 | | 384 × 521 (233 KB) | Guy vandegrift (talk | contribs) | disperse replaced by disperse |
| 07:12, 29 October 2021 |  | 384 × 521 (237 KB) | Guy vandegrift (talk | contribs) | Harry was in the wrong place when he received two cookies. | |
| 06:17, 29 October 2021 |  | 384 × 521 (244 KB) | Guy vandegrift (talk | contribs) | Uploaded own work with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
- Usage on en.wikiversity.org
- Usage on fr.wikipedia.org
