6. (10 points) In the figure, an "L" shape can be taken out consisting of three small squares. Now it is required that all the "L" shapes taken out are completely white, there are  different ways to do so (allowing the "L" shape to rotate);



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6. (10 points) As shown in the figure, an "L" shape can be taken out consisting of three small squares. Now it is required that all the "L" shapes taken out are completely white, and there are 24 different ways to do so (allowing rotation of the "L" shape);
【Solution】Solution: As shown in the figure, first count that there are 10 "convex" shapes, each "convex" shape contains 2 "L" shapes, and each corner has one "L" shape,
there are a total of $10 \times 2 + 4 = 24$ different ways to take them.
Therefore, the answer is 24.