GAUSS8 2022 Problem 23

The net shown is folded to form a cube. An ant walks from face to face on the cube, visiting each face exactly once. For example, A B C F E D and A B C E F D are two possible orders of faces the ant visits. If the ant starts at A, how many possible orders are there?
gauss8 2022 23

Answer Choices
A. 24
B. 48
C. 32
D. 30
E. 40