The discrete mathematics class has 2 mathematics majors who are juniors, 15 computer science majors who are sophomores, 12 mathematics majors who are sophomores, 1 computer science major who is a senior, 2 computer science majors who are juniors, and 1 mathematics major who is freshman. State each of the statements in terms of quantifiers and then find the truth value.
i) There is student in class who is the junior.
ii) Each student in class is the computer science major.
iii) There is the student in class who is neither mathematics major nor junior.
iv) Each student in class is either the sophomore or the computer science major.
v) There is the major such that there is student in class in every year of study with that major.