Решение:
- You mustn't eat in the classroom. It's not allowed! (Запрет).
- Students don't have to take the rubbish out. The cleaners will do it. (Отсутствие необходимости).
- You can't enter the building after 10 o'clock. The entrance is closed. (Невозможность, запрет).
Ответ: mustn't; don't have to; can't.