
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
Select 3 people from 4 teachers and 5 students, with the condition that there must be at least one teacher and one student among the selected. There are a total of $\boxed{\text{blank}}$ different ways to do this.

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