MathDB

9

Part of 2005 Baltic Way

Problems(1)

A rectangle is divided into 200 x 3 unit squares

Source: Baltic Way 2005/9

11/7/2005
A rectangle is divided into 200×3200\times 3 unit squares. Prove that the number of ways of splitting this rectangle into rectangles of size 1×21\times 2 is divisible by 33.
geometryrectanglemodular arithmeticcombinatorics proposedcombinatorics