A certain unit has enrolled 8 fresh graduates this year, of which A and B are liberal arts students, C, D and E are science students, and F, G and H are engineering students  Among the 8 people, A, C and F are ladies  The unit intends to select five people to form a research and development team, in which there should be at least one liberal arts student, one science student and one engineering student, and at least one woman should participate in the team
In addition, the following conditions should be met: (1) at most one person will participate in C and G; (2) if B attends, D will also participate; (3) both E and H will either participate or not
All three science students attended.