
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
Given that 6 people are randomly selected and divided into two groups according to their numbers to work in the Jiangxi Hall and the Guangdian Hall, and the numbers 6, 15, and 24 are selected and assigned to the same hall, calculate the number of ways to form the groups.

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