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A square maze has 9 rooms with gaps in the walls between them. Once a person has travelled through a gap in the wall it then closes behind them. How many different ways can someone travel through the maze from X to Y?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

*This problem is taken from the UKMT Mathematical Challenges.**View the archive of all weekly problems grouped by curriculum topic*