9. Team A and Team B each send out 7 players to participate in a Go chess tournament in a predetermined order. Both sides start with their No. 1 players competing; the loser is eliminated, and the winner then competes with the No. 2 player of the losing side, $\cdots$, until all players of one side are eliminated, and the other side wins, forming a match process. How many different possible match processes are there?
9. Let's first assume that Party A wins, then the problem is equivalent to finding the number of non-negative integer solutions to the equation $x_{1}+x_{2}+x_{3}+x_{4}+x_{5}+x_{6}+x_{7}$ $=7$, which has $C_{13}^{6}$ solutions. Similarly, the number of possible game processes for Party B winning is also $C_{13}^{6}$. Therefore, the total number of possible game processes is $2 C_{13}^{6}=3432$ (ways).