Final answer:
The subject 'she' refuses to attend college to become a ski instructor instead, which corresponds with option 4 from the student's question.
Step-by-step explanation:
The action she refuses to do is number 4) She refuses to attend college, despite her father's willingness to pay. This is evident from the statement 'He has denied her the facilities for obtaining a thorough education-all colleges being closed against her.' She is refusing to pursue higher education, even though her father is willing to support her financially. To ascertain which action the subject 'she' refuses to perform, one must carefully analyze the context provided in the various excerpts. None of the excerpts explicitly mentions the actions listed in options 1, 2, or 3 as being refused. However, excerpt E from the list clearly states that an 18-year-old daughter has decided not to go to college and instead pursue a career as a ski instructor. This indicates that she refuses to attend college, which aligns with option 4. Therefore, the action she refuses to do is attending college, despite her father's willingness to pay.