
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
For sets $A$ and $B$, let $card(A)$ represent the number of elements in the finite set $A$. Given $card(A) = M$ and $card(B) = N$ $(M < N)$, and set $C$ satisfies $A \subseteq C \subseteq B$, the number of sets $C$ that meet the conditions is ______.

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