Translate the following statements into idiomatic English where C ( x, y ) means that student x is enrolled in class y, where the domain of x consists of all students in this course (which includes Jane) and the domain of y consists of all classes being offered at your school.   C ( Jane, CMPSC 121 ) ∃x C ( x, IST 242 ) ∀x ( C ( x, CMPSC 101 ) ∧ C ( x, IST 250 ) ) ∀x∀y∃z (( x ≠ y ) ∧ C ( x, z ) ∧ C ( y, z ) ) ∃x∃y∀z (( x ≠ y ) ∧ ( C ( x, z) ↔ C ( y, z ) ) )

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Translate the following statements into idiomatic English where C ( x, y ) means that student x is enrolled in class y, where the domain of x consists of all students in this course (which includes Jane) and the domain of y consists of all classes being offered at your school.

 

  1. C ( Jane, CMPSC 121 )
  2. ∃x C ( x, IST 242 )
  3. ∀x ( C ( x, CMPSC 101 ) ∧ C ( x, IST 250 ) )
  4. ∀x∀y∃z (( x ≠ y ) ∧ C ( x, z ) ∧ C ( y, z ) )
  5. ∃x∃y∀z (( x ≠ y ) ∧ ( C ( x, z) ↔ C ( y, z ) ) )
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