More tic-tac-toe!

Discrete Mathematics Level 5

How many tic tac toe games can be played wherein \(O\) starts the game and the game has to end in a draw?

Rotations of the game are considered distinct, so a game with an \(O\) at the top right corner is different with one at the top left corner. Also, the players will not necessarily play perfectly!

Clarification: "Playing" the game means the actual order in which both players put their pieces count.



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