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- 06:59, 26 November 2024 (diff | hist) . . (+1,041) . . N 1990 APMO Problems/Problem 2 (Created page with "We have to prove <cmath>S_k S_{n-k} \geq {n \choose k}^2 a_1 a_2 \cdots a_n.</cmath> Let, \begin{align*} S_k & = \sum_{i=1}^{n\choose k}t_i \\ S_{n-k} & = \left(\prod_{m=1}...") (current)