Diana designs stained-glass windows. She has a large supply of square glass window panes. Some panes are yellow, and some panes are red. She wants to place them in windows that are 3x2 in such a way that no two windows are the same, even when the design is rotated or reflected. How many different window designs can she create using any combination of red and yellow panes?

Question

Diana designs stained-glass windows.  She has a large supply of square glass window panes. Some panes are yellow, and some panes are red. She wants to place them in windows that are 3x2 in such a way that no two windows are the same, even when the design is rotated or reflected. How many different window designs can she create using any combination of red and yellow panes?