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Colourful Tiles

Stage: 3 Short Challenge Level: Challenge Level:1

A tile is fixed to a wall and then painted with four different colours, one for each quarter. One way of doing this is 
How many other ways can the tile be painted?
If you liked this problem, here is an NRICH problem which is based on similar mathematical ideas  

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