Draw a path of line segments connecting 10 out of 12 points of a 3x4 lattice such that the path does not cross the same lattice point more than once. The 10 points represent digits in scrambled order, and the path aids finding digits.
The path may not intersect itself on any of the 10 selected lattice points nor coincide with another segment of the path. The path may intersect itself not on a lattice point, or on one of the 2 unselected lattice points. How many possible paths are there?
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