
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 hypothetical alphabet for a particular community consists of 14 letters: A, B, C, D, E, F, G, H, I, J, K, L, M, N. Suppose license plates of six letters utilize only the letters in this alphabet. How many license plates of six letters are possible that begin with either B or C, end with N, cannot contain M, and have no letters that repeat?

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