
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
My four-digit PIN is 4023. Joe can't choose a PIN that is exactly the same as mine, nor one that matches mine in three of the four digit-positions. Joe also can't choose a PIN where two digits are switched. Additionally, Joe must choose a PIN where no digits are repeated. How many valid PIN choices does Joe have if each digit must be within the set $\{0, 1, 2, ..., 9\}$?

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