
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
Given that there are 10 athletes, including 2 veteran players and 8 new players, a team of 3 players will be selected for a group competition with the requirement that at most 1 veteran player can be selected and the new player A cannot be selected, calculate the number of selection methods.

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