
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
Alex has 6 different math problems on pieces of paper and wishes to distribute them among his 10 friends. Each friend can receive exactly one problem, but not all problems need to be distributed. How many ways can Alex distribute these problems?

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