A discrete mathematics class contains 3 mathematics major who are
freshman (1st year), 8 mathematics majors who are sophomores (3rd year), 21 computer science majors who are sophomores, 12 mathematics majors who are juniors (2nd year), 5 computer science majors who are juniors, and 13 computer science major who are senior (final year). Express each of these statements in terms of quantifiers and then determine its truth value. i) There is a student in the class who is a Senior. ii) Every student in the class is a mathematics major. iii) There is a student in the class who is neither a computer science major nor a junior. iv) Every student in the class is either a freshman or a computer science major. v) 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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