Question 2
Two teams A and B each have 7 players in a table-tennis tournament. A losing player is eliminated; the winner stays to face the next opposing player. Play stops as soon as every player on one team has been eliminated. In how many distinct ways can the tournament be played?
Counting convention for self-study: each team has a fixed player order. Count the sequence of match outcomes, not permutations of player lineups; the source does not specify lineup counting.
Counting convention for self-study: each team has a fixed player order. Count the sequence of match outcomes, not permutations of player lineups; the source does not specify lineup counting.