
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
Researchers discover a solar system with 20 different habitable planets, out of which 8 are Earth-like and 12 are Mars-like in terms of resources. Earth-like planets require 2 units for colonization while Mars-like planets require only 1 unit. If a total of 24 units of colonies are available for mobilization, how many different combinations of planets can be occupied?

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