pg(3,2) arises as a background in some solutions of kirkman's schoolgirl problem. two of the seven non-isomorphic solutions to this problem can be embedded as structures in the fano 3-space. in particular, a "spread" of pg(3,2) is a partition of points into disjoint lines, and corresponds to the arrangement of girls (points) into disjoint rows (lines of a spread) for a single day of kirkman's schoolgirl problem. there are 56 different spreads of 5 lines each. a "packing" of pg(3,2) is a partition of the 35 lines into 7 disjoint spreads of 5 lines each, and corresponds to a solution for all seven days. there are 240 packings of pg(3,2), that fall into two conjugacy classes of 120 under the action of pgl(4,2) (the collineation group of the space); a correlation interchanges these two classes.