
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 particular state, the design of vehicle license plates was changed from an old format to a new one. Under the old scheme, each license plate consisted of two letters followed by three digits (e.g., AB123). The new scheme is made up of four letters followed by two digits (e.g., ABCD12). Calculate by how many times has the number of possible license plates increased.
A) $\frac{26}{10}$  
B) $\frac{26^2}{10^2}$  
C) $\frac{26^2}{10}$  
D) $\frac{26^3}{10^3}$  
E) $\frac{26^3}{10^2}$

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