
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 a system with 11 habitable planets, 5 of which are "Earth-like" and 6 are "Mars-like." Earth-like planets require 2 units of colonization each, and Mars-like planets need 1 unit each. If humanity has 14 total units available for colonization, in how many different ways can they occupy these planets?

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