A Noktasından B Noktasına Yol Sayımı

Şekildeki çizgiler A noktasından B noktasına giden yolları göstermektedir.

Buna göre A'dan B'ye geri gelmemek şartıyla kaç farklı yoldan gidilebilir?

A) 12 B) 16 C) 24 D) 32 E) 64

Soruda görsel içerik var: A diamond-shaped network of paths. On the far left is point A, and on the far right is point B. Between A and B, there are two vertical columns of points. Each column has 4 points. Point A is connected to each of the 4 points in the first column (4 paths). Each point in the first column is connected horizontally to the corresponding point in the second column. Additionally, there are vertical segments between adjacent points within each column. Finally, each of the 4 points in the second column is connected to point B (4 paths). The structure shows a symmetry where to go from A to B efficiently, one takes one of 4 paths to the first stage, then moves through the middle stage, and finally takes one of 4 paths to B.