Let sets A through F be defined as follows.

A = {000}
B = {111}
C = {0x: x ∈ {0, 1}^2}
D = {01x: x ∈ {0, 1}}
E = {1x: x ∈ {0, 1}^2}
F = {00x: x ∈ {0, 1}}

(a) Give two different partitions of the set {0, 1}^3 using one or more of the sets defined above. Give your answer by writing the letters corresponding to the sets in each partition. Ex: A, B, C.