
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
Warwick Elementary School has a six-square league with twelve players, including Marcus and Leah. Each day at recess, the twelve players are divided into two six-square games, each consisting of six players in no specific order. Throughout the semester, each possible combination of six players occurs exactly once. How many times did Marcus play in the same game as Leah?

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