SOLUTION:

Carmen has the hexagon,
Darwin has the rectangle,
Garmin has the pentagon,
Harmon has the octagon, and
Norman has the triangle.

Logic Sequence:

Clue 1: Either (A) Harmon=hexagon and Darwin=triangle, or (B) Harmon=octagon and Darwin=rectangle.

Clue 2: Carmen could not have had the triangle or the octagon. Garmin could not have had the hexagon or octagon.

By elimination, we can label Norman=octagon as (A), since either (A) or (B) has to be correct.

Clue 3: Norman cannot have the octagon, so (A) is incorrect and (B) is correct.

Referring back to Clue 2, Garmin must have the pentagon and Carmen the hexagon, which leaves Norman the triangle.

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