Four-dimensional

Number Theory Level pending

Tic-tac-toe is a classical game; however, in the standard two-dimensional version of the game, it is far too easy to guarantee a draw or a win. To make the game more interesting, two players decide to play on a four-dimensional 3x3x3x3 grid. How many different ways are there to make a line of 3?


The answer is 333.

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