Easy -1.8 This is a direct one-mark application of Euler's formula V - E + F = 2 for planar graphs. Substituting 12 - 18 + n = 2 gives n = 8 immediately with no problem-solving required—pure formula recall.
Graph $A$ is a connected planar graph with 12 vertices, 18 edges and $n$ faces.
Find the value of $n$
Circle your answer.
[1 mark]
4 8 28 32
\hfill \mbox{\textit{AQA Further Paper 3 Discrete 2022 Q2 [1]}}