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Type 10-2 Number of Paths in a 3-D Shape

In the hexagonal prism below, find the number of shortest paths the
ant can take from point A to point B if it can travel only along the
edges.

A

B

1 When the colored sides of the hexagonal prism are spread out, it looks
like the diagram below. Find the number of shortest paths in this shape
from point A to point B.

AA

BB

2 The shortest paths from point A to point B passing through the other sides
are the same as the ones found in 1 . Find the number of shortest paths
from point A to point B passing through the other paths.

3 Find the number of shortest paths the ant can take from point A to point
B if it can travel only along the edges.

90 NUMINO Challenge C2
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