Counting Strings: a. Make a list of all bit strings of

Chapter 9, Problem 9.108

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Counting Strings: a. Make a list of all bit strings of lengths zero, one, two, three, and four that do not contain the bit pattern 111. b. Foreachintegern 0,letdn =thenumberofbitstrings of length n that do not contain the bit pattern 111. Find d0,d1,d2,d3, andd4. c. Find a recurrence relation for d0,d1,d2,.... d. Use the results of parts (b) and (c) to nd the number of bit strings of length ve that do not contain the pattern 111.

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