Question 30
To match my hexagonally paved path, I built a Giant’s Causeway garden feature from 19 hexagonal stone columns, arranged in a hexagonal pattern with three different levels, as shown.
In how many ways can I climb from S to F if I only step to an adjacent column, never step on any column twice and never step down a level?

In how many ways can I climb from S to F if I only step to an adjacent column, never step on any column twice and never step down a level?
