
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  $X=\{1,2,3,...,10\}$ . Find the number of pairs of  $\{A,B\}$  such that  $A\subseteq X, B\subseteq X, A\ne B$  and  $A\cap B=\{5,7,8\}$ .

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