Three students, Alice, Bob, and Carol, took a quiz. Alice shows her score to Bob and Carol, but Bob and Carol do not show their scores to anyone. Bob says, "I didn't get the lowest score among the three of us." Carol says, "I didn't get the highest score among the three of us." Assuming their scores are distinct, what is the ranking of the three students from highest score to lowest score?
Alice, Bob, Carol
Alice, Carol, Bob
Bob, Alice, Carol
Bob, Carol, Alice
Carol, Alice, Bob
