Solving an 'impossible' algebra question in 2 minutes

On the JEE Advanced test, you would only have minutes to solve this problem. Students preparing for the exam often take coaching to prepare. In this video I want to focus on the mathematical content of this beautiful problem. A special thanks this month to The Laba Family, Michael Anvari, Richard Ohnemus, Shrihari Puranik, Kyle.

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Sources
https://math.stackexchange.com/questions/1348452/find-the-coefficient-of-x9-in-1x1x21x3-cdots1x100
https://www.quora.com/What-is-the-coefficient-of-x-9-in-1+x-1+x-2-1+x-100
https://www.youtube.com/watch?v=2IOhFlYcy8g

WolframAlpha evaluation
https://www.wolframalpha.com/input/?i=coefficient%28product%28%281%2Bx%5Ek%29%2Ck%2C1%2C100%29%2Cx%5E9%29

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Видео Solving an 'impossible' algebra question in 2 minutes канала MindYourDecisions