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For questions about the formulation of a proof. This tag should not be the only tag for a question and should not be used to ask for a proof of a statement.

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Problem from Kenneth Rosen's Discrete Mathematics and its Applications, Section 1.8 [duplicate]

Let S = X1 * Y1 + X2 * Y2 + · · · + Xn * Yn, where X1, X2 , . . . , Xn and Y1, Y2, . . . , Yn are orderings of two different sequences of positive real numbers, each containing n elements. …
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