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Australian AMC 2019 - Senior Question 29

AMC AUSTRALIA · Australian AMC 2019 - Senior

Question 29

The diagram shows one way in which a $3\times10$ rectangle can be tiled by 15 rectangles of size $1\times2$.
Since this tiling has no symmetry, we count rotations and reflections of this tiling as different tilings.
How many different tilings of this $3\times10$ rectangle are possible?

Question illustration