
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
How many 15-letter arrangements of $4$ A's, $6$ B's, and $5$ C's have no C's in the first $5$ letters, no A's in the next $5$ letters, and no B's in the last $5$ letters?
A) 0
B) 5
C) 10
D) 25
E) 30

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