How many 5-bit strings contain the string "100" as a consecutive substring? Define the following sets: • A = set of 5-bit strings of the form 100** B = set of 5-bit strings of the form *100* • C = set of 5-bit strings of the form **10O The *'s can be either 0 or 1. 1) Sets A, B, and C all have the same Correct cardinality. What is the cardinality of Each set has 2 unspecified bits. There are two choices for each bit, so there are 2 · 2 = 4 possible ways to fill in the unspecified bits. each set? Check Show answer 2) What is JA N BỊ? Incorrect How many strings can have the form 100** and "100*? Check Show answer 3) What is JA n (1? Incorrect How many strings can have the form 100** and **100? 2 Check Show answer 4) What is |B N C]? Incorrect How many strings can have the form *100* and **100? Check Show answer
How many 5-bit strings contain the string "100" as a consecutive substring? Define the following sets: • A = set of 5-bit strings of the form 100** B = set of 5-bit strings of the form *100* • C = set of 5-bit strings of the form **10O The *'s can be either 0 or 1. 1) Sets A, B, and C all have the same Correct cardinality. What is the cardinality of Each set has 2 unspecified bits. There are two choices for each bit, so there are 2 · 2 = 4 possible ways to fill in the unspecified bits. each set? Check Show answer 2) What is JA N BỊ? Incorrect How many strings can have the form 100** and "100*? Check Show answer 3) What is JA n (1? Incorrect How many strings can have the form 100** and **100? 2 Check Show answer 4) What is |B N C]? Incorrect How many strings can have the form *100* and **100? Check Show answer
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I am needing assistance with questions 2-5.
Transcribed Image Text:How many 5-bit strings contain the string "100" as a consecutive
substring?
Define the following sets:
• A = set of 5-bit strings of the form 100**
• B = set of 5-bit strings of the form *100*
• C = set of 5-bit strings of the form **100
The *'s can be either 0 or 1.
1)
Sets A, B, and C all have the same
Correct
cardinality. What is the cardinality of
4
each set?
Each set has 2 unspecified bits. There are two choices
for each bit, so there are 2-2 = 4 possible ways to fill in
the unspecified bits.
Check
Show answer
2)
What is |A N B|?
Incorrect
How many strings can have the form 100** and *100?
Check
Show answer
3) What is JA n c[?
Incorrect
How many strings can have the form 100** and **100?
2
Check
Show answer
4)
What is |B N C[?
Incorrect
How many strings can have the form *100* and **100?
Check
Show answer
5)
How many 5-bit strings have "100"
consecutively as a substring?
Incorrect
AUBUCIS the set of strings that have "100' as a
substring. The sets A B, and C are mutually disjoint.
Check
Show answer
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