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by Brian Gladman on May 27, 2018

Sunday Times Teaser 2905 – Trackword

by Danny Roth

Published May 27 2018 (link)

George and Martha are tackling a Trackword problem which appears in magazines. Nine letters are placed in a 3×3 grid and you have to work from one square to a neighbour, proceeding up, down, left, right or diagonally until all nine squares have been visited to form a nine-letter word. You must start in the top-left corner. As an example, you can get the word EIGHTFOLD from the following grid:

E T H
F I G
O L D

George and Martha thought that would be interesting to work out how many possible routes there are which start in the top-left corner.

How many routes are there?

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