
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 an event, there are 30 people arranged in 6 rows and 5 columns. Now, 3 people are to be selected to perform a ceremony, with the requirement that any two of these 3 people must not be in the same row or column. The number of different ways to select these 3 people is __________ (answer in numerals).

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