Questions 3 and 4 are based upon each other which is why I included them in the same post

Problem 3. (15 points) Let Fool(x, y, d) be a predicate that represents the statement "x makes a fool of y on day d." Thus, for example, 3a:Vb: Fool(a, Lem, b) means that there is someone who fools Lem every day. Express each of the following statements as a quantified predicate. (3 points each) a. Every day Lem fools someone. b. There is a person who, on each day, fools someone other than himself. C. Everyone fools someone someday. d. On any day a person who is fooled does not fool anyone that day. e. Lem never fools himself. Problem 4. (5 points) Using the definition above, determine if there a difference between the following statements. If so, explain the difference in one or two sentences. a. VxVy: Fool(Sam, x,y) vs. VyHx: Fool(Sam, x, y) b. 3x3y: Fool(Sam, x,y) vs. 3yx: Fool(Sam, x,y) C. 3xVy: Fool(Sam,x,y) Vx3y: Fool(Sam, x, y) d. 3xWy: Fool(Sam, x, y) Vyx: Fool(Sam,x,y) e. 3xWy: Fool(Sam,x,y) 3yWx: Fool(Sam,x,y) Vs. vs