
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
Humanity discovers 15 habitable planets; 8 are "Earth-like" and 7 are "Mars-like". If each Earth-like planet requires 3 units of colonization and each Mars-like planet requires 1 unit, and humanity can deploy 18 total units of colonization, how many different combinations of planets can be occupied assuming all planets are distinct?

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