
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
Flatville decides to adjust the sets of letters used for their bicycle license plates: one letter is moved from the first set $\{C,H,L,P,R\}$ to the third set $\{D,M,N,T\}$. Originally, the license plates consisted of three letters with the first chosen from a set of 5, the second from $\{A,I,O\}$, and the third from a set of 4. How does this change affect the total number of different license plates possible?

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