
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
The number of possible license plates under the new scheme is the product of the number of ways to select two letters and the number of ways to select five digits, while the number of possible license plates under the previous scheme is the product of the number of ways to select three letters and the number of ways to select three digits. Determine the ratio of the number of possible license plates under the new scheme to the number of possible license plates under the previous scheme.

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