
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 Mathland, all automobile license plates have five symbols. The first can be any letter (A to Z), the second and third must be two different letters among all the 26 letters excluding the first, and the last two must be digits (00 through 99). If the symbols are chosen at random subject to these conditions, calculate the probability that the plate will read "AMC89".

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