The figure shows the paths from point \(A\) to point \(E\) in a video game. How many different ways can a player move

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The figure shows the paths from point \(A\) to point \(E\) in a video game. How many different ways can a player move from point \(A\) to point \(E\) and then back from point \(E\) to point \(A\) without retracing a previous path taken?

A. \(300\)
B. \(7,200\)
C. \(14,400\)
D. \(28,800\)
E. \(57,600\)

The OA is C