The correct option is B) “a little face peeked out of the pile.” Sentences have meaning on their own and have a subject and predicate whereas sentence fragments do not have meanings on their own.
In this case, option B is a complete sentence that has full meaning. Subject: “a little face”, predicate “peeked out of the pile”.
The rest of the options are incorrect since they do not have a complete structure; therefore their meaning is incomplete.