An equivalence relation on a set A divides set A into disjoint subsets (equivalence classes), called a partition. For each of the following collections of subsets, state if they make up a partition of set A all bit strings of length 8, and explain why or why not. Your explanation should be specific to the example, and not just give general definitions. (a) the set of strings that begin with 1, the set of bit strings that begin with 00, and the set of bit strings that begin with 01. (b) the set of bit strings that end with 111, the set of bit strings that end with 011. and the set of bit stings that end with 00.