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Australian AMC 2016 - Junior Question 30

AMC AUSTRALIA · Australian AMC 2016 - Junior

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?

Question illustration