
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 $P=\{1,2,3,\ldots ,n\}\left(n\in N,n\geqslant 2\right)$ be a set. Choose two non-empty subsets $A$ and $B$ of $P$ such that the smallest number in $B$ is greater than the largest number in $A$. When $n=10$, the total number of different combinations of $A$ and $B$ is _____. (Please provide your answer as a number)

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