
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
(1) There are 8 people standing in a row side by side. If person A must be to the left of person B, and person B must be to the right of person C, how many different arrangements are there?  
(2) There are 10 internship positions available for graduates, to be distributed among 7 universities, with each university receiving at least one position. How many different ways can the positions be distributed?

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