Quantifiers and determine

Quantifiers and determine

A discrete math class contains 1 math major who is a freshman, 12 math major who are sophomores, 5 computer science major who are sophomores, 2 math majors who arejuniors, 2 computer science majors who are juniors, and 1 computer science major who is senior. Express each of these statements in terms of quantifiers and thendetermine 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 major.
c)There is a student in the class who is neither a math 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.