A = {1, 2, 3, 4}. Select the statement that is false. a. 0 c P(A) b. O C P(A) c. {2, 3} E P(A) (2, 3} C P(A) f : {0, 1}4 + {0, 1}4 f(x) is obtained from x by replacing the last bit with 1. For example, f(1000) = 1001. Select the correct description of the function f. a. One-to-one and onto b. One-to-one but not onto c. Onto but not one-to-one Neither one-to-one nor onto A is a finite non-empty set. The domain for relation R is the power set of A. (Recall that the power set of A is the set of all subsets of A.) For X C A and Y C A, X is related to Y if X and Y have the same cardinality (i.e., |X| = [Y|). Select the description that accurately describes relation R. a. mmetric and Reflexive b. Anti-symmetric and Reflexive c. Symmetric and Anti-reflexive d. Anti-symmetric and Anti-reflexive