1.

Use quantifiers and predicates with more than one variable to express, ‚Äö√Ñ√∂‚àö√ë‚àö‚à´There is a pupil in this lecture who has taken at least one course in Discrete Maths.‚Äö√Ñ√∂‚àö√ë‚àöœ?#

A. ∃x∃yP (x, y), where P (x, y) is “x has taken y,” the domain for x consists of all pupil in this class, and the domain for y consists of all Discrete Maths lectures
B. ∃x∃yP (x, y), where P (x, y) is “x has taken y,” the domain for x consists of all Discrete Maths lectures, and the domain for y consists of all pupil in this class
C. ∀x∀yP(x, y), where P (x, y) is “x has taken y,” the domain for x consists of all pupil in this class, and the domain for y consists of all Discrete Maths lectures
D. ∃x∀yP(x, y), where P (x, y) is “x has taken y,” the domain for x consists of all pupil in this class, and the domain for y consists of all Discrete Maths lectures
Answer» B. ‚Äö√Ñ√∂‚àö‚Ć‚àö√¢x‚Äö√Ñ√∂‚àö‚Ć‚àö√¢yP (x, y), where P (x, y) is ‚Äö√Ñ√∂‚àö√ë‚àö‚à´x has taken y,‚Äö√Ñ√∂‚àö√ë‚àöœÄ the domain for x consists of all Discrete Maths lectures, and the domain for y consists of all pupil in this class


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