In a sudoku-tournament, the winner will be selected from play-offs among the top $10$ ranked participants. The participants at #$10$ and #$9$ of the ranking will challenge each other, the loser will receive $10th$ prize and the winner will challenge #$8$. The winner of the first challenge and #$8$, will challenge #$7$ and the loser will receive $9th$ prize. The ultimate winner will be the one who receives the $1st$ prize. In how many ways these $10$ participants may receive the prizes?
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