Problem R-5

Due is DSC 203 by 12 Noon, Friday February 15, 2002

Proposed by Dora Matache

Given five positive numbers, it is known that the difference between the sum of any three of them and the sum of the remaining two numbers is a positive number. Prove that the product of all ten such differences is not greater than the square of the product of the given numbers.

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

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Last modified:   Sun Feb 10 15:22:50 CST 2002