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How many unique tiles are there when a tile has four corners, each of which can have 0-6 dots in it, and 0-6 dots in those dots, and a further 0-6 dots in those. The tile cannot be rotated, every corner is unique.

 Apr 15, 2022
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There are 4 corners to put them in.

 

There are 7 dots in 3 rounds, so there is \(4 \times 7 \times 7 \times 7 = \color{brown}\boxed{1,372}\)

 Apr 15, 2022

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