<prompt> Please answer with one of the option in the bracket. Write reasoning in between . Write answer in between .Q:A 21-year-old woman comes to the physician because of a 1-day history of right leg pain. The pain is worse while walking and improves when resting. Eight months ago, she was diagnosed with a pulmonary embolism and was started on warfarin. Anticoagulant therapy was discontinued two months ago. Her mother had systemic lupus erythematosus. On examination, her right calf is diffusely erythematous, swollen, and tender. Cardiopulmonary examination shows no abnormalities. On duplex ultrasonography, the right popliteal vein is not compressible. Laboratory studies show an elevated serum level of D-dimer and insensitivity to activated protein C. Further evaluation of this patient is most likely to show which of the following?? A: Protein S deficiency, B: Elevated coagulation factor VIII levels, C: Mutation of prothrombin, D: Mutation of coagulation factor V, E: Deficiency of protein Cn,  <response>: This is a question about deep vein thrombosis DVT in a young woman with a history of pulmonary embolism. The key findings are right leg pain and swelling, ultrasound showing noncompressible right popliteal vein, elevated D-dimer, and insensitivity to activated protein C. The history of pulmonary embolism and family history of lupus raise suspicion for a hypercoagulable state. Insensitivity to activated protein C points towards factor V Leiden mutation, which is the most common inherited thrombophilia. This leads to resistance to activated protein C, which normally inactivates factor V. Of the answer choices, mutation of factor V choice D is most consistent with the clinical presentation and test results. The other answer choices may be associated with hypercoagulability but are less likely based on the information provided.D: Mutation of coagulation factor V 