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Summary

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

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Captions

Illustrates stars, bars, and gaps for a simple example of counting compositions of 4 with 3 non-zero terms.

Items portrayed in this file

depicts

29 October 2021

image/svg+xml

9142771d987d1667706c25b28a1c32cfd7935275

238,196 byte

521 pixel

384 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current04:43, 30 October 2021Thumbnail for version as of 04:43, 30 October 2021384 × 521 (233 KB)Guy vandegriftdisperse replaced by disperse
07:12, 29 October 2021Thumbnail for version as of 07:12, 29 October 2021384 × 521 (237 KB)Guy vandegriftHarry was in the wrong place when he received two cookies.
06:17, 29 October 2021Thumbnail for version as of 06:17, 29 October 2021384 × 521 (244 KB)Guy vandegriftUploaded own work with UploadWizard

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