
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 the set $M = \{-3, -2, -1, 0, 1, 2\}$, let $P(a, b)$ represent a point on the plane where $(a, b \in M)$. Answer the following questions:

(1) How many different points can $P$ represent on the plane?

(2) How many points can $P$ represent in the second quadrant of the plane?

(3) How many points can $P$ represent that are not on the line $y = x$?

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