6. Use 2 red beads, 2 blue, and 2 purple beads to string into a bracelet as shown in the figure below, you can make $\qquad$ different bracelets.



保留了源文本的换行和格式。
Solution: Suppose the three colors of beads are denoted as $A, B, C$, then the arrangement of beads can be divided into 4 categories:
(1) No same-colored beads are adjacent: $A B C A C B, A B C A B C, A B C B A C, A B A C B C$
(2) Only one pair of same-colored beads are adjacent: $A A B C B C, B B A C A C, C C A B A B$
(3) Only two pairs of same-colored beads are adjacent: $A A C B B C, A A B C C B, B B A C C A$
(4) Three pairs of same-colored beads are adjacent: $A A B B C C$ There are a total of 11 different bracelets.