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Counting & ProbabilityHardBinomial Theorem, Pascal & Combinatorial Identities

Binomial Theorem, Pascal & Combinatorial Identities · Hard problem

Evaluate (44)+(54)+(64)+(74)+(84)+(94)+(104)\binom{4}{4}+\binom{5}{4}+\binom{6}{4}+\binom{7}{4}+\binom{8}{4}+\binom{9}{4}+\binom{10}{4}.