
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
Each member of a team of 20 people purchased three lottery tickets. Subsequently, it turned out that the team won three different prizes. In how many ways can these prizes be distributed?

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