A planar graph, not necessarily connected, has 2 connected components, \(v=9\) vertices and \(e=10\) edges. If \(v-e+f=1+c\) with \(c\) components, how many faces does its drawing have?
A planar graph is a graph that can be drawn in the plane with no crossing edges; such a drawing, for \(v\) vertices and \(e\) edges, splits the plane into \(f\) faces.