
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
Form a three-digit number using the digits 0, 1, 2, 3. Repeating digits is not allowed.  
① How many three-digit numbers can be formed?  
② If the three-digit numbers from ① are sorted in ascending order, what position does 230 occupy?  
③ If repeating digits is allowed, how many of the formed three-digit numbers are divisible by 3?

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