
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
The graduation ceremony program at a certain school consists of 6 events. Considering the overall effect, there are the following requirements for the order of the program: Event A must be scheduled in the first three positions, and events B and C must be scheduled together. How many possible arrangements are there for the order of the programs at the school's graduation ceremony?

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