
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
There are 4 cards, each with numbers on both sides: 0 and 1, 2 and 3, 4 and 5, 6 and 7. If 3 of these cards are placed together, they can form $\boxed{168}$ different three-digit numbers.

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