
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 semester, the Science Club needs to elect a new committee. There are 4 positions available and 20 members are eligible, of which 10 are members who have never served on the committee before. How many different committees can be formed that include at least one member who has previously served?

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