Let S be the set of 10 two-dimensional tiles defined by their dimensions as follows:
S={1x1, 2x1, 3x1, 2x2, 5x1, 3x2, 7x1, 4x2, 3x3, 5x2}
How many ways can this 10 tiles be arranged in the plane so that they form a 5x11 rectangle?
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