please help, with clear steps. thanks in advance.

3. (15 pt., 3 pt. each) Let s(a) be the statement "x is a student," P(x) be the statement "x is a professor," and Q(x,y) be the statement "x asked a question to y." If the domain of x and y consists of all people, express each of the following sentences in terms of S(a), P(x),Q(x. y), quantifiers, and logical operators. Example: Some student has asked every professor a question. Answer 3x(S(x) ^ Vy(P (y)--Q (x, y))) a. Every student has asked some professor a question. b. There is a professor who has never been asked a question by a student. c. There is a student who has asked a question to exactly one professor. d. There is a professor who has asked every other professor a question. e. There are two different students who have asked each other a