
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
If three numbers are selected from the numbers 1, 2, 3, ..., 10, where no two of them are adjacent, then calculate the number of possible selections.

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