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Monday, August 30, 2010
14th Asian Pacific Mathematics Olympiad 2002 Problems
14th Asian Pacific Mathematics Olympiad 2002 ProblemsA1. xi are non-negative integers. Prove that x1! x2! ... xn! ≥ ( [(x1 + ... + xn)/n] ! )n (where [y] denotes the largest integer not exceeding y). When do you have equality?