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Let L be the language on A = {a,b,c} which consists of all words of form w = arbsct where r, s, t > 0. Which of the following is valid regular expression 'r' such that L = L(r)?
1. r = abc
2. r = aabbcc
3. r = aabcc
4. r = aabc
    Correct answer is '2'. Can you explain this answer?
    Most Upvoted Answer
    Let L be the language on A = {a,b,c} which consists of all words of fo...
    Statement 1:
    If L = {w = arbsc∣ r,s,t ≥ 0}
    Then L(r) = abc
    Statement 2:
    If L = {w = arbsc∣ r, s, t > 0}
    Then L(r) = aabbcc
    DFA for Language L:
    Statement 3:
    If L = {w = arbsc∣ s ≥ 0 and r, t > 0}
    Then L(r) = aabcc
    Statement 4:
    If L = {w = arbsc∣ s,t ≥ 0 and r > 0}
    Then L(r) = aabc
    Hence, the correct answer is 2.
    Free Test
    Community Answer
    Let L be the language on A = {a,b,c} which consists of all words of fo...
    Explanation:

    Regular Expression Analysis:
    - The regular expression r = aa*bb*cc* represents the language L as it allows for any combination of 'a', 'b', and 'c' with at least one occurrence of each within the word.
    - The '*' symbol allows for zero or more occurrences of the preceding character.
    - Therefore, the regular expression matches words of the form arbsct where r, s, t > 0.

    Explanation of Incorrect Answers:
    1. r = a*b*c*
    - This regular expression allows for words with any combination of 'a', 'b', and 'c', including words that do not contain all three characters.
    - It does not enforce the condition that each character 'a', 'b', and 'c' must occur at least once in the word.
    3. r = aa*bc*
    - This regular expression does not cover all possible combinations of 'a', 'b', and 'c' in the word.
    - It does not ensure that the word contains at least one 'b' and one 'c'.
    4. r = aa*bc*
    - Similar to the third option, this regular expression does not guarantee the presence of all three characters 'a', 'b', and 'c' in the word.
    - It fails to meet the requirement that each character must occur at least once in the word.
    Therefore, the correct regular expression for the language L is r = aa*bb*cc*.
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    Let L be the language on A = {a,b,c} which consists of all words of form w = arbsct where r, s, t > 0. Which of the following is valid regular expression r such that L = L(r)?1. r = a∗b∗c∗2. r = aa∗bb∗cc∗3. r = aa∗b∗cc∗4.r = aa∗b∗c∗Correct answer is '2'. Can you explain this answer?
    Question Description
    Let L be the language on A = {a,b,c} which consists of all words of form w = arbsct where r, s, t > 0. Which of the following is valid regular expression r such that L = L(r)?1. r = a∗b∗c∗2. r = aa∗bb∗cc∗3. r = aa∗b∗cc∗4.r = aa∗b∗c∗Correct answer is '2'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Let L be the language on A = {a,b,c} which consists of all words of form w = arbsct where r, s, t > 0. Which of the following is valid regular expression r such that L = L(r)?1. r = a∗b∗c∗2. r = aa∗bb∗cc∗3. r = aa∗b∗cc∗4.r = aa∗b∗c∗Correct answer is '2'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let L be the language on A = {a,b,c} which consists of all words of form w = arbsct where r, s, t > 0. Which of the following is valid regular expression r such that L = L(r)?1. r = a∗b∗c∗2. r = aa∗bb∗cc∗3. r = aa∗b∗cc∗4.r = aa∗b∗c∗Correct answer is '2'. Can you explain this answer?.
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