A unit must select 3 from the 6 staff members of A, B, C, D, E, and A to participate in the Provincial Vocational Skills Competition. 4 judges respectively put forward their own opinions: (1) At least among A and C Choose one person; (2) Choose at least one person out of B and E; (3) Choose at most one person out of B and C; (4) Choose at most one person out of A and D. Later, I learned that E cannot be due to illness. Participated, and the opinions of the above 4 judges have been respected.
the contestant selected by the unit?
C, D, F