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Discrete Math II - 8.4.5 Solve Counting Problems with Generating Functions
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We finally get to put all of our hard work to good use by applying what we know to solving counting problems. We will model each application question, then solve given the parameters of the question. Some questions are very straightforward, while others will require the use of convolution, introduced in this video.
Video Chapters:
Intro 0:00
Helpful Table 0:16
Balls into Boxes (no upper limit) 0:38
Balls into Boxes (upper limit - CONVOLUTION) 7:07
Practice With and Without Upper Limit 18:09
Revisiting Making Change (for the last time) 26:27
Up Next 26:54
This playlist uses Discrete Mathematics and Its Applications, Rosen 8e
Power Point slide decks to accompany the videos can be found here:
The entire playlist can be found here:
Video Chapters:
Intro 0:00
Helpful Table 0:16
Balls into Boxes (no upper limit) 0:38
Balls into Boxes (upper limit - CONVOLUTION) 7:07
Practice With and Without Upper Limit 18:09
Revisiting Making Change (for the last time) 26:27
Up Next 26:54
This playlist uses Discrete Mathematics and Its Applications, Rosen 8e
Power Point slide decks to accompany the videos can be found here:
The entire playlist can be found here:
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