
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 teachers from 4 male teachers and 3 female teachers to be sent to 3 different suburban schools for teaching, one teacher per school, such that the selection includes both male and female teachers, and calculate the total number of different selection and assignment plans.

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