We moved from these initial imaginings and attempted to use symbolic representations, the
“Binomial Coeffi cient,” to fi nd all of the diff erent ways to arrange three vertices out of the eight
vertices on a cube. Next, we needed to fi nd which of the 56 (8!/[3!(8-3)!]) possible triangles
were right. Th ese maneuvers helped, but we left the high school classroom and continued to
think about the “Weekly Journal Problem” after our initial deliberations.