
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
Let $P = \{3, 4, 5\}$ and $Q = \{4, 5, 6, 7\}$. Define the operation $P★Q$ as $P★Q = \{(a, b) | a \in P, b \in Q\}$. Determine the number of elements in $P★Q$.

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