
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
At the end of the year, the Science Club wants to elect 6 members to its executive board. There are 18 candidates, of whom 8 have previously served on the board. In how many ways can the elections result in an executive board that includes at least one of the former board members?

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