
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
A play has one specific male role, one specific female role, and four roles that can be played by either gender. If six men and seven women audition, how many ways can the roles be assigned?

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