
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
A gelato shop offers 8 kinds of gelato. What is the greatest number of three scoop sundaes that can be made such that each sundae contains three different types of gelato and no two sundaes have the same combination of types?

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