Problem R-6


Due is DSC 203 by 12 Noon, Friday February 22, 2002

Proposed by Griff Elder



Let $a_1, a_2, a_3,\ldots,a_7$ be integers, and let $b_1, b_2, b_3, \ldots, b_7$ be the same integers rearranged. Show that

\begin{displaymath}(a_1-b_1)(a_2-b_2)\cdots (a_7-b_7)\end{displaymath}

is necessarily even.

Generalize!


Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder


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Last modified:   Thu Feb 14 20:44:35 CST 2002