
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
Among 5 table tennis players, which include 2 experienced players and 3 new players, 3 players are to be selected and arranged in positions 1, 2, and 3 to participate in a team competition. How many possible arrangements are there such that at least one experienced player is among the selected and at least one new player is among the players in positions 1 and 2?

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