
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]


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From the 8 English letters \( A, B, C, D, E, X, Y, Z \), select 5 letters (with repetition allowed) to form a "word." Arrange all possible "words" in "lexicographic order" (i.e., the order in which words appear in an English dictionary). Determine the number of "words" that lie between the "word" \(C Z Y E B\) and the "word" \(X C E D A\) (excluding these two words).

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