Generating Functions made simple

This is a somewhat unusual introduction to Generating Functions. Generating Functions are a very powerful mathematical tool that is often said to be very difficult and unintuitive, but it is actually quite intuitive if you look at it from a modelling angle.

Excerpts from the video "Olympiad level counting" were used with permission from Grant Sanderson (@3blue1brown).
You can find his channel here: @3blue1brown
The referenced video is here: Olympiad level counting  (Generating ...
(This is highly recommended, I have been subscribed to Grant's channel for years and am a big fan)

CONTENTS
00:00 Introduction
01:40 Simple Example
05:04 Powers are Copies
06:43 Factors are Paths
08:55 Final Example
10:20 More to come
11:12 On Education
11:52 Apples and Oranges

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• #probability