
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 a shooting competition, nine clay targets are arranged in three hanging columns of three targets each. A shooter must break all the targets following these rules:
1) The shooter first chooses a column from which a target is to be broken.
2) The shooter must then break the lowest remaining target in the chosen column.
How many different orders can the nine targets be broken?

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