
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 unit has 15 members, including 10 men and 5 women. Now 6 members need to be selected from them to form an inspection team for an external visit and study. If the selection is based on gender stratification and random sampling is performed proportionally within each stratum, calculate the number of possible compositions of this inspection team.

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