Example 11 (1988 National High School League Question) Team A and Team B each send out 7 players to participate in a Go chess competition in a pre-arranged order. Both sides start with the No. 1 player competing. The loser is eliminated, and the winner then competes with the No. 2 player of the losing side... until all players of one side are eliminated, and the other side wins, forming a competition process. The number of all possible competition processes is