
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
**At a university, there are four departments in the division of mathematical sciences: mathematics, statistics, computer science, and data science. Each department has three male and three female professors. A committee of eight professors is to be formed which must contain four men and four women. Moreover, the committee must include two professors from each of two departments and one professor from the other two departments. Calculate the number of possible committees that can be formed under these conditions.**

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