MathDB
SMT 2010 General #18

Source:

February 11, 2012
SFFT

Problem Statement

In an nn-by-mm grid, 11 row and 11 column are colored blue, the rest of the cells are white. If precisely 12010\frac{1}{2010} of the cells in the grid are blue, how many values are possible for the ordered pair (n,m)(n,m)