3. Either start with 101 or end with 11 (or both)? ... 4. Have weight 5 and either start with 101 or end with 11? ... ...

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 54SE: How many unique ways can a string of Christmas lights be arranged from 9 red, 10 green, 6 white, and...
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How many 9-bit strings (that is, bit strings of length 9) are there which:
1. Start with the sub-string 101? 64
2. Have weight 5 (i.e., contain exactly five 1's) and start with the sub-string 101?
20
3. Either start with 101 or end with 11 (or both)?
4. Have weight 5 and either start with 101 or end with 11?
Transcribed Image Text:How many 9-bit strings (that is, bit strings of length 9) are there which: 1. Start with the sub-string 101? 64 2. Have weight 5 (i.e., contain exactly five 1's) and start with the sub-string 101? 20 3. Either start with 101 or end with 11 (or both)? 4. Have weight 5 and either start with 101 or end with 11?
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