Eight professor- A, B, C, D, M, N, O, and P are working in three departments Engineering, Medical, and Management of an Institute with at least two of them work in each department and not more than three persons work in same departments. Each of them likes a different sports Golf, Volleyball, Archery, Boxing, Tennis, Rugby, Basketball and Cricket but not necessarily in the same order.
P likes Archery and he works in Management department with only N. B and M do not work in the same department. O likes Boxing and does not work in Medical department. M and C works together but not in engineering department. D works with C in the same department and likes Golf. B likes Basketball and none of his colleagues in the department likes Tennis and Rugby. N likes Volleyball and M does not like Tennis.
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