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Counting & ProbabilityHardBinomial Theorem, Pascal & Combinatorial Identities

Binomial Theorem, Pascal & Combinatorial Identities · Hard problem

Find the coefficient of x2x^2 in (1+x)2+(1+x)3+⋯+(1+x)12(1+x)^2+(1+x)^3+\cdots+(1+x)^{12}.