Questions about "Permit"

[Deepurple]

Could you please tell me which of the following is/are correct and the reasons why?

*His health does not permit him doing (to do) it.
*She does not permit him (his) doing it.
*She does not permit him to do it.

Thank you.

[Soup]

... does not permit him to do it.
Meaning => He is not (permitted) to do it.

... does not permit him doing it.
Meaning => He is not (permitted) doing it.