Where do the combination and permutation formulas come from? (nPr and nCr explained)

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In this video, I explain some very fundamental concepts in the art of counting very large numbers of things systematically. In particular, I show how to derive from scratch the permutation formula and the combination formula, which you may see on your calculator as nPr and nCr respectively.

I would like to note that the marker I failed to correctly put the cap on at the end of the video ended up drying out completely because of that.
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exactly what I was looking for! Thank you so much!!!

rheahayek