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In how many ways can we cover a 9x7 rectangular surface with five integer sided rectangular tiles?

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In how many ways can we cover a 9x7 rectangular surface with five integer sided rectangular tiles, so that exactly one tile has all of its sides lying inside the surface (like the yellow tile below)?

Assumptions
Rotations and reflections count as different tilings.

enter image description here

posted Oct 14, 2017 by anonymous

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