10120 is the number of valid game-trees, or valid ~80 move games.
The much smaller number I quoted above, though, IS the valid positions, I was thinking it was actually the trimmed down “truly valid” game-tree sequences.
Isn’t math fun? Limitless ways for us to be wrong!
Lol, big board you’re playing with…
If you don’t limit it to valid positions/arrangements it’s like 10^120. Closer to the “number of X in the observable universe” caliber of number.
So I think I was wrong, but you are too lmao.
10120 is the number of valid game-trees, or valid ~80 move games.
The much smaller number I quoted above, though, IS the valid positions, I was thinking it was actually the trimmed down “truly valid” game-tree sequences.
Isn’t math fun? Limitless ways for us to be wrong!
A position is the arrangement of all the pieces on the board.