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A discrete mathematics class contains I mathematics
major who is a freshman, 12 mathematics majors who
are sophomores, 15 computer science majors who are
sophomores. 2 mathematics majors who are juniors. 2
computer science majors who are juniors, and I computer
science major who is a senior. Express each of these state-
ments in terms of quantifiers and then determine its truth
a) There is a student in the class who is a junior.
b) Every student in the class is a computer science ma-
c) There is a student in the class who is neither a math-
ematics major nor a junior.
d) Every student in the class is either a sophomore or a
computer science major.
e) There is a major such that there is a student in the
class in every year of study with that major.
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