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For simplicity, assume that UK University has only four colleges: C, N, U, and S. Let...

For simplicity, assume that UK University has only four colleges: C, N, U, and S. Let C, N, U, and S be the sets of corresponding students, respectively. Let M be the set of all Math students. Let Y be the sets of all students living in Yellow town (a C'hostel). Let W be the set of all students who attended the Wing Lecture.

Express the following in set-theoretic terms:

1. Math Major students living in Yellow town

2. a Math Major student must belong to C College (which is true)

3. students belonging to neither U nor S C who did not attend the Wing Lecture

4. a student cannot belong to more than one college

5. no students from S College attended the Wing Lecture

6. C college Math Major students who attended the Wing Lecture

7. N college students who did not attend the Wing Lecture.

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Answer #1

1.

2.

3.

4. , where, C, N, U and S are mutually exclusive

5.

6.

7.

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