Ten Planes
Ten planes in space are in general position: every two meet in a line, every three meet in a single point, no four share a point, and no two of the intersection lines are parallel. Into how many regions do they divide space? Give an integer.
Related problems & prerequisites
Worth solving first
- Ten Lines 4.0/10
- Grid Paths 4.0/10
Source: Classic exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.