
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
Given a mapping $f: A \rightarrow B$, it is called a "surjection" if every element in set $B$ has a preimage in set $A$. If there are 4 elements in set $A$ and 3 elements in set $B$, calculate the number of different surjections from $A$ to $B$.

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