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We had a number of solutions come in with answers from Connor, Isobel, Brian, Josh, Stephanie and Ben.
H.C. from SIS School sent us this very good answer:
I started calculating the number of ways through 4, 5 and 6 stations first.This is great - you have really gone about it in a logical way.
So, I wonder if anyone can predict how many ways could be found for 8 stations? This is an example of the Fibonacci sequence. You can find out more about this special pattern of numbers in this article .