Drawing Book

After his sister Jensene finished the coloring book, Chris bought another drawing book for her. The first page of the book contains a diagram

There are 9 vertices from \(A\) to \(I\). How many ways are there to trace the figure without lifting the pen such that it passes through all the vertices and each edge is drawn at most once?

Clarification: Chris does not have to draw pass every edge.

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