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Which one of the following regular expressions is NOT equivalent to the regular expression (a + b + c)*?
- a)(a* + b* + c*)*
- b)(a*b*c*)*
- c)((ab)* + c*)*
- d)(a*b* + c*)*
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Which one of the following regular expressions is NOT equivalent to th...
A) (a* + b* + c*)* = ( ^ + a+aa+.. ..+b+bb+...+c+cc...)* = (a+b+c+ aa+..+bb+..+cc+..)*= (a+b+c)* [any combination of rest of aa ,bb,cc, etc already come in (a+b+c)* ]
(a*b*c*)* = (a*+b*+c* +a*b*+b*c*+a*c*+..)*= (a+b+c+....)* = (a+b+c)*
((ab)* + c*)* =(ab+c+^+abab+...)* = (ab+c)*
(a*b* + c*)* = (a*+b*+c*+...)* =(a+b+c+..)* = (a+b+c)*
Most Upvoted Answer
Which one of the following regular expressions is NOT equivalent to th...
Explanation:
The regular expression (a b c)* matches any sequence of characters that consists of combinations of the characters 'a', 'b', and 'c'. This means that any valid sequence can be comprised of any number of 'a's, 'b's, and 'c's, in any order.
Regular Expression Options:
a) (a* b* c*)*
b) (a*b*c*)*
c) ((ab)* c*)*
d) (a*b* c*)*
Analysis of Regular Expression Options:
a) (a* b* c*)*
- This regular expression matches any sequence that consists of any number of 'a's, followed by any number of 'b's, followed by any number of 'c's. This is equivalent to (a b c)*.
b) (a*b*c*)*
- This regular expression matches any sequence that consists of any number of 'a's, followed by any number of 'b's, followed by any number of 'c's. This is equivalent to (a b c)*.
c) ((ab)* c*)*
- This regular expression matches any sequence that consists of any number of 'ab's, followed by any number of 'c's. However, it does not account for sequences that contain 'a's or 'b's that are not immediately followed by 'c'. For example, it would not match the sequence "acb".
d) (a*b* c*)*
- This regular expression matches any sequence that consists of any number of 'a's, followed by any number of 'b's, followed by any number of 'c's. This is equivalent to (a b c)*.
Conclusion:
The regular expression option (c) ((ab)* c*)* is not equivalent to the regular expression (a b c)* because it does not match sequences that contain 'a's or 'b's that are not immediately followed by 'c'. The other options (a), (b), and (d) are all equivalent to (a b c)*.
The regular expression (a b c)* matches any sequence of characters that consists of combinations of the characters 'a', 'b', and 'c'. This means that any valid sequence can be comprised of any number of 'a's, 'b's, and 'c's, in any order.
Regular Expression Options:
a) (a* b* c*)*
b) (a*b*c*)*
c) ((ab)* c*)*
d) (a*b* c*)*
Analysis of Regular Expression Options:
a) (a* b* c*)*
- This regular expression matches any sequence that consists of any number of 'a's, followed by any number of 'b's, followed by any number of 'c's. This is equivalent to (a b c)*.
b) (a*b*c*)*
- This regular expression matches any sequence that consists of any number of 'a's, followed by any number of 'b's, followed by any number of 'c's. This is equivalent to (a b c)*.
c) ((ab)* c*)*
- This regular expression matches any sequence that consists of any number of 'ab's, followed by any number of 'c's. However, it does not account for sequences that contain 'a's or 'b's that are not immediately followed by 'c'. For example, it would not match the sequence "acb".
d) (a*b* c*)*
- This regular expression matches any sequence that consists of any number of 'a's, followed by any number of 'b's, followed by any number of 'c's. This is equivalent to (a b c)*.
Conclusion:
The regular expression option (c) ((ab)* c*)* is not equivalent to the regular expression (a b c)* because it does not match sequences that contain 'a's or 'b's that are not immediately followed by 'c'. The other options (a), (b), and (d) are all equivalent to (a b c)*.
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Which one of the following regular expressions is NOT equivalent to th...
C
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