
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 school year, the Science Club decided to elect 6 equal board members. A total of 20 members were eligible, 9 of whom had previously served on the board. How many different ways can the board be elected so that at least one of the previously served members is chosen?

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