
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
From twelve schoolchildren and three teachers, a school committee of nine people needs to be formed. The committee must include at least one teacher. How many ways can the committee be formed?

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