
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
South High School is recruiting 30 volunteers for an independent enrollment exam, numbered 1 to 30. Six volunteers are to be selected and divided into two groups based on their number size, with three smaller numbers in one group and three larger numbers in the other. The question is: How many ways can volunteers numbered 6, 15, and 24 be simultaneously selected and allocated to the same location?

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