MATH STINGER #22 
by Dr. Joel C. Fowler 
Assistant Professor of Mathematics 

Several counting problems provide new puzzles. Suppose 
that you have a rectangle that is two squares high by 30 squares long. 
You also have a supply of 30 1x2 dominoes each one of which covers exactly two 
adjacent squares of the rectangle. Together they will cover the entire 2x30 rectangle. In how 
many different ways can the rectangle be covered with the 30 dominoes? After solving this you should 
also be able to answer the same question for a 3x30 rectangle covered by 30 1x3 dominoes.

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