
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
In a chess club at Maplewood Middle School, there are 12 members, including Sarah and Molly. Each week, the members split into two groups of six to study different strategies. Over the course of a year, each possible group of six members meets once. How many times did Sarah study in the same group as Molly?

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