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15-04-2018
Mathematics

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Suppose a game of 3-D tic tac toe is played on a 6x6x6 cube. How many winning lines of 6-in-a-row are there through the cube?

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MrEquation MrEquation

25-04-2018

There would be 84 winning rows of 6 in a row.

On each face of a cube, there would be 6 vertical rows, 6 horizontal rows and 2 diagonal rows. That is a total of 14 rows per face.

A cube has 6 faces.
6 x 14 = 84

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