Permit

1a. He wouldn’t Permit me in.
1b. He wouldn’t allow me in.
2a. I don’t permit the cat in the bedroom.
2b. I don’t permit the cat to come into the bedroom.
2c. I don’t allow the cat to come into the bedroom.
3a. The hospital permits visitors in the evening, only.
3b. The hospital permits visitors in the evening, only.
Please correct all.
Thanks.

1a. He wouldn’t permit me to come in.
1b. He wouldn’t allow me in.
2a. I don’t permit the cat in the bedroom.
2b. I don’t permit the cat to come into the bedroom.
2c. I don’t allow the cat to come into the bedroom.
3a/b. The hospital permits visitors in the evenings only.

Beeesneees,

  1. It is not allowed/permitted to smoke in the house.
  2. I’m not allowed/permitted to smoke in the house.
  3. They didn’t allow/permit me to smoke in the house.
    Please correct the above.
    Thanks.
 1. It is not permitted to smoke in the house.  (BUT NOT *[s]It's not allowed to smoke [/s]...)  
 2. I'm not allowed/permitted to smoke in the house. 
 3. They didn't allow/permit me to smoke in the house. Also
 4. They didn't allow/permit [i]smoking [/i]in the house.

 *Generally speaking, the two verbs are interchangeable and grammatically identical. It is, however, true that an idiomatic restriction prevents 'allow' in standard usage from being the subject of a cleft sentence.

Foreigner / Beeesneees,

  1. They do not permit people smoking here.
  2. They do not allow people smoking here.
    Are they correct?
    Thanks.
 No! Either

1/2. They do not [i]permit/allow people[/i] [i]to smoke[/i] here.  (Verb + object + to infinitive)   or
 
 1/2. They do not [i]permit/allow[/i] [i]smoking [/i]here. (Verb + -ing; no object)     is grammatically correct.