Let Q(x, y) be the statement "student x has become a contestant on quiz event y". Express each of the following sentences in terms of Q(x, y), quantifier, and logical connection, where the domain for x consists of all students in your major and for y consists of all quiz shows on television.
a) There is a student in your major who has become a contestant on a television quiz show.
b) No student in your major has ever been a contestant on a television quiz show.
c) There are students in your department who have been contestants for Family 100 and Super Deal Indonesia.
d) Every television quiz show has a student of your major as a contestant.
e) At least two students from your major have become contestants in Family 100