
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
A company decides to generate a new series of promotional codes. Each code consists of five characters taken from the three letters in CAT and the digits in 3119. Each character may not appear more in the code than it appears in CAT or 3119. Count the total number of unique promotional codes that could be generated and compute one-tenth of this total.

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