I don't buy this one. Source?
More possible configurations, I'm betting. How many of them are positions that can actually be reached in a legal game of chess, I don't know.
EDIT: It's number of game-trees i.e. sequences of moves:
Wikipedia said:Allis also estimated the game-tree complexity to be at least 10^123, "based on an average branching factor of 35 and an average game length of 80". As a comparison, the number of atoms in the observable universe, to which it is often compared, is estimated to be between 4×10^79 and 10^81.



