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There are 400 different positions that can result after the first move (each player making a move). After just two moves, there are some 72,084 positions possible. Over 9 million possibilities appear at the end of three moves, and over 288 billion after four moves. In the fourth move, there are (very) roughly 288 billion minus 9 million, or 287 billion, 991 million possible positions that can result in the fourth move. That's 287,991,000,000 possible positions (approximately) that can be achieved during the fourth move.

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