
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
A hospital has 12 internal medicine doctors and 8 surgeons. Now, they need to send 5 doctors to join a disaster relief medical team.  
(1) If a specific internal medicine doctor must join and a specific surgeon cannot join, how many different selections are there?  
(2) If both internal medicine doctors and surgeons must be included in the team, how many different selections are there?

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