
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
Oakridge Middle School runs an intense chess team tournament with twelve players, including Anna and Bob. Among these, Anna and Bob have been selected as the team captains and are required to play at least once per week together. Each week, the twelve players participate in two chess matches, each consisting of six players in no particular order. Over the academic year, each possible combination of six players plays together exactly once. How many times do Anna and Bob play in the same match?

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