
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 an international 100-meter sprint event at the Olympics, there are 10 athletes, of which 4 are Europeans and 6 are Asians. Medals (gold, silver, and bronze) are to be awarded for the first three places. Calculate in how many ways the medals can be awarded if no more than two Europeans win medals.

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