
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Team A and Team B each send out 7 players to compete in a chess relay match. Players from both teams compete in a predetermined order. The first players from both teams compete; the loser is eliminated, and the winner goes on to compete against the second player from the losing team. This continues until one team has all their players eliminated, at which point the other team wins, forming a sequence of match outcomes. It is known that Team A used only their first 5 players to consecutively defeat all 7 players from Team B. How many different sequences of matches are possible in such a contest?

Present the answer in LaTex format: \boxed{Your answer}
user