On Monday, 6 students went to the tutoring center at the same time, and each one was randomly assigned to one of the 6 tutors on duty. On Tuesday, the same 6 students showed up, the same 6 tutors were on duty, and the students were again randomly assigned to the tutors. What is the probability that exactly 2 students met with the same tutor both Monday and Tuesday?
Answer Choices:
A. \dfrac{1}{16}
B. \dfrac{3}{16}
C. \dfrac{1}{4}
D. \dfrac{3}{8}
E. \dfrac{1}{2}