
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
Emily throws six identical darts, each hitting one of five differently sized dartboards. After throwing, she notes the number of darts that hit each board, from greatest to least. How many different lists are possible, considering different list represents a genuinely different outcome due to differing dartboard sizes?

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