1. Let A = {{1}, 2, 3} and B : {2}, 1, {2}, 3}. Let P(A) be the power set of A, i.e., the set of all subsets of A. a) Find A U B. b) Find P(A) \\B. c) Find A X (A D B). d) Find a bijection f from A to B \\ A. Present it in the 2-r0W form. e) Find a function g from {0,1} to B \\ A such that f1(g(m)) = a: + 2 for :1: E {0, 1}. Present it in the 2-r0W form. f) Does there exist a surjection from A X (A F] B) to P(A) \\B? Why