allow doing sth
允許做某事例：Is not allow (anyone)smoking in this meeting room
這間會議室里是不允許吸煙的
The hospital does not allow smoking
醫院里不允許吸煙
allow sb to do sth
允許某人做某事例：Teacher allow students to have a short break after long trainning
老師允許學生在長時間的訓練以后稍作休息
be allowed sb to do sth 被允許做某事例：He is allowed to go to university for his good performance
他因為表現好而被允許進入大學