Consider the following sets: . A = (000) . B = {111) . C = (Or: x 6 {0,1)3} . D = 101x: x e {0.1}} . E = (lr: ze {0, 1)?} . F = 100m: x e {0,1}} Identify two different partitions of the set {0, 1}3 by selecting one or more of the sets defined above. Give your answer by writing the letters corresponding to the sets in each partition in alphabetical order in the two fields provided in the form with NO COMMAs and NO EMPTY SPACES. If they are of different lengths (of letters). enter the one with the smaller length in the first field. E.g. ACE (in first field) and ABCD (in second slot). (b) Find the following set cardinalities, and enter -1 when you judge that there is not enough information to calculate it: (remember A and B here are unrelated to the sets above!) i. Find |A x 0). ii. Find JA). when JA x B) = 25 and |A| > |BI. ifi. Find | B|. given that | 9( P(A)) x B| = 48. iv. Find (X], given that X. Y, and Z are sets such that (X x (Y n Z)| = 64 and |XUY| $ 10