**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 value. a) There is a student in the class who is a junior. b) Every student in the class is a computer science ma- jor. 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. Choosing the correct answer step by step**

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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

value.

a) There is a student in the class who is a junior.

b) Every student in the class is a computer science ma-

jor.

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.

Choosing the correct answer step by step