How many possible states of tic-tac-toe are there?

How many possible states of tic-tac-toe are there?

How many possible states of tic-tac-toe are there?

Considering symmetry, all possible game-states in Tic-tac-toe are 765, as opposed to 827 mentioned in the literature [3]. This fact is also supported by other studies [6, 4].

  • 579.3K views
  • 2024-02-13 16:31:11
Show all Q/A Info

Why we should play tic-tac-toe?
Games are a natural way to foster social interaction, as well as work on fine motor development. Tic Tac Toe can be used to promote a number of cognitive skills including counting and spatial skills, and color and shape identification.
2024-02-11 07:41:08


Why does no one win tic tac toe?
What is a tie game of Tic-Tac-Toe called? It's called Cat's Game. cat's game (plural cats' games) (tic-tac-toe) A tie game. Comes from the concept that a cat cannot catch its own tail just like a player in tic-tac-toe cannot win a game that is already tied.
2024-02-08 07:21:15


How many winning lines are in 3x3x3 tic-tac-toe?
In the game of Tic Tac Toe (i.e. noughts and crosses) there are 8 distinct winning lines. Investigate how many distinct winning lines there are in a game played on a 3 by 3 by 3 board, with 27 cells. A winning line connects 3 cells.
2024-01-09 16:01:21


What do you call a game of tic-tac-toe that no one wins?
cat's game (plural cats' games) (tic-tac-toe) A tie game. Comes from the concept that a cat cannot catch its own tail just like a player in tic-tac-toe cannot win a game that is already tied.
2023-04-02 15:18:05