
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 best-of-three table tennis match. In each game, the player who first scores 11 points and the opponent has less than 10 points wins; if the score reaches 10-10, the player who scores 2 points more than the opponent wins. The total scores of Jia and Yi in all three games combined are 30 points. How many possible score combinations are there for the three games, without considering the order of scores?

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