Uploads from Mathematical Visual Proofs

Currently Playing: Donuts and Dividers (Bars and Stars)

Donuts and Dividers (Bars and Stars) This short video investigates the method often referred to as "Stars and Bars" to count unordered selections with repetition. We make the case for calling this method donuts and dividers as it shows how to count unordered arrangements of k donuts from n types where unlimited repetition is allowed. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. or join my Patreon: https://www.patreon.com/c/MathVisualProofs This is based on a classic technique from combinatorics: https://en.wikipedia.org/wiki/Stars_and_bars_(combinatorics) ​​ #math​ #combinatorics​ #manim​ #binomialcoefficients #visualproof To learn more about animating with manim, check out: https://manim.community