
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
How many five-digit numbers can be formed from $1^{\circ}$. five identical digits, $2^{\circ}$. two different digits, $3^{\circ}$. three different digits, $4^{\circ}$. four different digits, and $5^{\circ}$. five different digits?

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