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Counting & ProbabilityEasyBinomial Theorem, Pascal & Combinatorial Identities

Binomial Theorem, Pascal & Combinatorial Identities · Easy problem

Use the special case ∑k(nk)2=(2nn)\sum_k\binom{n}{k}^2=\binom{2n}{n} to evaluate ∑k=03(3k)2\displaystyle\sum_{k=0}^{3}\binom{3}{k}^2.