The team streamed into the locker room, donned their uniforms, and before commencing its first practice, they joined in a brief strategy session.

A) and, before commencing its first practice, they joined in a brief strategy session.

B) and before commencing their first practice, they joined in a brief strategy session.

C) and a strategy session preceded its first practice

D) and, before commencing their first practice, they joined in a brief strategy session.

E) and, before commencing their first practice, joined in a brief strategy session.

my doubt : i have a little problem with E .when ever we have a participle modifier then it should be followed by a subject that it tends to modify .so "before commencing their first practice" should be followed by a subject .this is not happening in E