How many different bracelets can be made?

I guess, 21 bracelets can be made.

It should be 21 since you can make this: Red =r and Blue = bn1. rrbbbbbn2. rbrbbbbn3. rbbrbbbn4. rbbbrbbn5. rbbbbrbn6. rbbbbbrn7. brrbbbbn8. brbrbbbn9. brbbrbbn10. brbbbrbn11. brbbbbrn12. bbrrbbbn13. bbrbrbbn14. bbrbbrbn15. bbrbbbrn16. bbbrrbbn17.bbbrbrbn18. bbbrbbrn19. bbbbrrbn20. bbbbrbrn21. bbbbbrrn. This is a permutation, from how you are asking the question.