MathDB
Putnam 1961 B4

Source: Putnam 1961

June 5, 2022
Putnamabsolute valueinequalities

Problem Statement

Let x1,x2,…,xnx_1 , x_2 ,\ldots, x_n be real numbers in [0,1].[0,1]. Determine the maximum value of the sum of the n(n−1)2\frac{n(n-1)}{2} terms: ∑i<j∣xi−xj∣.\sum_{i<j}|x_i -x_j |.
Back to ProblemsView on AoPS