
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 five-digit number with no repeated digits using the numbers 1, 2, 3, 4, and 5.
(1) How many such five-digit numbers can be formed?
(2) How many of these are odd numbers?
(3) If all these five-digit numbers are arranged in ascending order, what is the position of the number 43125? Provide an explanation.

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