Question: Problem 3: a) Prove that considering All players playing for Toronto Maple Leafs Hockey team are superstars, and: There is a player, Auston Matthews, selected

Problem 3: a) Prove that considering All players playing for "Toronto Maple Leafs" Hockey team are superstars, and: There is a player, "Auston Matthews", selected as number draft-pick, and is a member of Toronto Maple Leafs" We, therefore, can conclude that (clearly specify the selected propositions) There is a superstar player selected as number 1 draft-pick". b) Prove that considering (a) All movies belonging to the "Star Wars" series are wonderful, and: (b) There is a movie, "Star Wars: Episode IX", that wil be released this year which belongs to "Star Wars" series. We, therefore, can conclude that "There is a wonderful movie that will be released this year." Clearly specify used propositions. Question 1 (10 marks) a) Consider the following sets: A (a, b, (a,b, , B-(b, c, dy. What are the cardinalities of: A,B,C={x I (x c A) ^ (xeB)} , and D = {x 1 (x c A)y(x c B)?[4 points] b) What is the power set of set A (b, (a,b), 3.12 points] c) Find the car N 2Sx S 22 Ax is divisible by 3). [4 points] dinality of the following set: E-x e

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