Question 799018
Assuming the order of the Secretaries matters.
Identifying the people only by gender (ie MMMM FFFF, not M(1), M(2), M(3), M(4), F(1), F(2), F(3), F(4) )

FF FFM
FF FMF
FF FMM
FF MFF
FF MFM
FF MMF

FM FFF
FM FFM
FM FMF
FM MFF

MF FFF
MF FFM
MF FMF
MF MFF

14 permutations