A bit string is a finite sequence of O's and l's. How many bit strings have length 9? bit strings How many bit strings of length 9 begin with four O's? positions remain to be filled in. Since each of these positions can be filled with either a 0 or a 1, the number of bit string of length 9 that begin with four 0's is If a bit string of length 9 begins with four 0's, then How many bit strings of length 9 begin and end with a 17 bit strings

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 42E
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(a) A bit string is a finite sequence of O's and 1's. How many bit strings have length 9?
bit strings
(b) How many bit strings of length 9 begin with four O's?
If a bit string of length 9 begins with four 0's, then
positions remain to be filled in. Since each of these positions can be filled with either a o or a 1, the number of bit string of length 9 that begin with four 0's is
(c) How many bit strings of length 9 begin and end with a 1?
bit strings
Transcribed Image Text:(a) A bit string is a finite sequence of O's and 1's. How many bit strings have length 9? bit strings (b) How many bit strings of length 9 begin with four O's? If a bit string of length 9 begins with four 0's, then positions remain to be filled in. Since each of these positions can be filled with either a o or a 1, the number of bit string of length 9 that begin with four 0's is (c) How many bit strings of length 9 begin and end with a 1? bit strings
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