Math

A Beautiful Problem (IIT Test)

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

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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