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Please answer below question. Let C(h,k) be the statement “ h is a student in the...

Please answer below question.

Let C(h,k) be the statement “ h is a student in the class k ”, A(h) be the statement “ h is a member of the Sports Society ”, and B(h) be the statement “ h is the member of the History Society”, where the domain for h is all students in the college and the domain for k is all class in the college. Translate the following statement into logical expressions.

  1. All classes have members of the History Society.
  2. There is only one class in which there is no member of the sports Society or the History Society.

Please explain the answer clearly.

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