
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
Jia and Yi are playing a table tennis match in a best of three series. In each game, the first player to reach 11 points while the other has less than 10 points wins; if the score is tied at 10, the first player to win by 2 points wins. The total score between Jia and Yi in the three games is 30 points. How many possible score scenarios are there for the three games without considering the order of the scores?

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