Math Problem : HH.15 Number of ways from P to A

A figure shows the equilateral triangles whose one side is 1 cm are arranged.
The point leaves the point P and moves with the speed of 1 cm/s on the side.

(1) How many ways of going are there for the point to go to point A from point P in 3 seconds exactly without passing along the same point twice?

(2) How many ways of going are there for the point to go to point A from point P in 5 seconds exactly without passing along the same point twice?










Answer
(1) 5 ways
(2) 19 ways