My GUESS (often wrong with these Q's)
4 c 1 for a girl in one of the offices = 4 ways
times 4c1 for a boy = 16 ways
can be bgx bxg xbg gbx gxb xgb 6 x 16 = 96
one office left choose from 6 remaining 96 x 6 = 576 ways (?????)
Let me know if I am incorrect...... and what the REAL answer is ! THANX ! ~EP