
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 how many different ways can 3 men and 4 women be placed into two groups where one group consists of four people containing at least two men and two women, and the other group consists of three people with no further gender-specific conditions?

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