Solution: Which of these collections of subsets are

Chapter 13, Problem 43E

(choose chapter or problem)

Which of these collections of subsets are partitions of 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 10, 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 10, and the set of bit strings that end with 11

d) the set of bit strings that end with 111, 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 contain 3k ones for some nonnegative integer k; the set of bit strings that contain 3k + 1 ones for some nonnegative integer k; and the set of bit strings that contain 3k + 2 ones for some nonnegative integer k.

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