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Fix one non-biologist to break the circular symmetry. Lets fix one chemist. This leaves us with 7 other scientists to arrange.
Arrange the remaining 7 scientists, ensuring no biologists are adjacent. First, arrange the 5 non-biologists (1 chemist fixed + 2 chemists + 3 physicists):
Place 3 biologists in the gaps created by the 5 non-biologists. A circular arrangement with non-biologists creates 5 gaps (since each non-biologist, except the fixed one, creates a gap):

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