He is a libertine person who is uninhibited by the rules of morality or…

A libertine is defined by a specific, negative moral judgement: someone who deliberately disregards the accepted rules of morality and tradition, indulging their own desires without restraint — the word carries a disapproving, ‘wicked’ connotation, not a neutral sense of personal liberty.

The sentence describes a man who is ‘uninhibited by the rules of morality or tradition’ — exactly the disapproving sense above: someone who defies conventional moral standards and cannot be restrained by them, i.e. a wicked person uncontrollable by the rules of morality or traditions.

Why the other options don’t fit:

• ‘Free mentality and freedom from all the rules...’ reads as a neutral, even positive, description of liberty — it misses the disapproving, morally-transgressive sense that ‘libertine’ specifically carries.

• ‘Criminal mentality...can’t be controlled by the rules of morality’ wrongly equates disregard for MORAL norms with breaking the LAW — a libertine defies convention and morality, not necessarily legal statutes.

• ‘None’ assumes no offered description fits, but one option does capture the exact sense of the word.