The departments of Mathematics, Applied Mathematics, and Statistics at the University of Washington present the

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03/31/2009
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02/24/2009
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02/10/2009
02/03/2009
01/27/2009
01/20/2009
01/13/2009
01/06/2009
12/02/2008
11/25/2008
11/18/2008
11/11/2008
11/04/2008
10/28/2008
10/21/2008
10/14/2008
10/07/2008
09/30/2008
09/23/2008
09/09/2008
08/26/2008
08/19/2008
08/12/2008
08/05/2008
07/29/2008
07/22/2008
07/15/2008
07/08/2008
07/01/2008
06/24/2008
06/10/2008
06/03/2008
05/27/2008
05/20/2008
05/13/2008
05/06/2008
04/29/2008
04/22/2008
04/15/2008
04/08/2008
04/01/2008
03/18/2008
03/11/2008
03/04/2008
02/26/2008
02/19/2008
02/12/2008
02/05/2008
01/29/2008
01/22/2008
01/15/2008
01/08/2008
12/04/2007
11/27/2007
11/20/2007
11/13/2007
11/06/2007
10/30/2007
10/16/2007

January 29–February 5, 2008

Problem

Prove that any set of three distinct integers includes two integers x and y such that f(x,y) = x³y - x y³ is divisible by 10.

Solution

here.

List of solvers

Rich Bauer (alum) Steve Wilmarth, HyoSun Choi (undergrad) Alan Jamison, Dustin Moody, Gary Raymond, Jacob Lewis (grad) Navdeep Jaitly (outside)

The winner of this week's challenge is Jacob Lewis!