Which of these collections of subsets are partitions on

Chapter 8, Problem 8.5.43

(choose chapter or problem)

Which of these collections of subsets are partitions on the set of bit strings of length 8? a) the set of bit 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 contain the string 00, the set of bit strings that contain the string 01, the set of bit strings that contain the string 1 0, and the set of bit strings that contain the string 11 c) the set of bit strings that end with 00, the set of bit strings that end with 01, the set of bit strings that end with 1 0, and the set of bit strings that end with 11 d) the set of bit strings that end with Ill , the set of bit strings that end with 011, and the set of bit strings that end with 00 e) the set of bit strings that have 3k ones, where k is a nonnegative integer; the set of bit strings that contain 3k + l ones, where k is a nonnegative integer; and the set of bit strings that contain 3k + 2 ones, where k is a nonnegative integer