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Consider the set of students enrolled in a college and the set of faculty members at that college. Suppose we define a one to one

Consider the set of students enrolled in a college and the set of faculty members at that college. Suppose we define a one to one correspondence between the two sets by saying that a student corresponds to a faculty member if the student is currently enrolled in a course taught by that faculty member. Is this correspondence a function? Briefly Discuss. A simple yes or no needs reasoning so please answer thoughtfully.

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