
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
In a game, Wang Liang drew the cards $7, 7, 7, 3$ and found that $7 + 7 + 7 + 3 = 24$. If a combination of 4 cards that adds up to 24 is called a "friendly hand," how many different friendly hands have a largest number of 7?

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