Question 1 (15 Points): Basics on sets (01) a) Determine the cardinalities of the following sets. (10 Points) i) {x|x is a letter in the word artificial}. ii) The power set P(S) of S = {1,0, x 1 = 0}. iii) A = {x N | x 10} iv) B {{0, 1, 2}, 3, 4, 5, P(), {{0}}} v) A B with A and B defined in iii) and iv), respectively. b) Let A, B, U, V be arbitrary sets such that A CU, BCV. Is it true that Ax BCU x V? = Explain your answer. (5 Points)