How many possible moves or combination of moves are there in chess after each player has made four complete moves?
by 
roninn
ANSWERS: 2
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4,000,307.
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There are over 288 billion possible positions after 4 moves. There are 400 just after the first move for both players. (Each player can move any of his 8 pawns 1 or 2 squares and the nights each have two squares they can go on - hence 20 * 20 possibilities). From someones earlier answer :- Chess is infinite: There are 400 different positions after each player makes one move apiece. There are 72,084 positions after two moves apiece. There are 9+ million positions after three moves apiece. There are 288+ billion different possible positions after four moves apiece. There are more 40-move games on Level-1 than the number of electrons in our universe. There are more game-trees of Chess than the number of galaxies (100+ billion), and more openings, defences, gambits, etc. than the number of quarks in our universe! --Chesmayne" Source and further information: http://www.chess-poster.com/.../did_you_know.htm
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