The child was not permitted to leave the house.
Both are correct, it depends on how they are used in the sentence.
They were told they would need a permit from the city if they were going to stage a protest. She was excited about receiving her driving permit.
You can use "disallow" in a sentence to indicate that something is not permitted or prohibited. For example, "The rules disallow outside food in the classroom."
People aren't permitted to park their cars in front of the museum.
"Only clubs and their affiliated foot ball players are permitted to enter the field of play".
Profane language is not permitted at school.
Motor vehicle are not permitted in the Pedestrian Precinct.
No evidence is found yet. No you are not permitted to do this.
No. Use permitted as for example, That is not permitted. It is forbidden.
There is a grey area in the rules; it's not clear if that is permitted or not.
permitted
I got a citation because lighting a campfire outside of a designated campsite is not permitted in the national forest. My normally punctual arrival to school today was not permitted, due to an unforeseen traffic snarl.