Let andsum; be the set of all bijections from {1,andhellip;,5}to {1,andhellip;.,5}, where id denotes the identity function, i.e.denote composition on functions. For a stringConsider the languageThe minimum number of states in any DFA accepting L is______.Correct answer is '120'. Can you explain this answer? - EduRev Computer Science Engineering (CSE) Question

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Let ∑ be the set of all bijections from {1,…,5}to {1,….,5}, where id denotes the identity function, i.e.

denote composition on functions. For a string

Consider the language

The minimum number of states in any DFA accepting L is______.

Correct answer is '120'. Can you explain this answer?

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Let ∑ be the set of all bijections from {1,…,5}to {1,&helli...

Lets have all bijection possible from set {1,2,3} → {1,2,3}

Here, identity function is {{1,1}{2,2},{3,3}}

Lets represents it using a, b,c,d,e,f
Hence ∑ = {a, b, c, d , e, f } where a = {{1,1}{2, 2} ,{3,3}} , b= {{1,1}{2,3} ,{3, 2}} and so on String belong to the language will be

Lets take a string “ab” and see where its maps

Which is {{1,1}{2,3} ,{3, 2}} = b
Suppose the string is “abc”

The “abc” will be mapped to {{1,2}{2,1},{3,3}}

For mapping {1,2,3} → {1,2,3}, 6 states required
For mapping {1,2,3,4,5} → {1,2,3,4,5} , 120 states required

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Let ∑ be the set of all bijections from {1,…,5}to {1,….,5}, where id denotes the identity function, i.e.denote composition on functions. For a stringConsider the languageThe minimum number of states in any DFA accepting L is______.Correct answer is '120'. Can you explain this answer?

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Let ∑ be the set of all bijections from {1,…,5}to {1,….,5}, where id denotes the identity function, i.e.denote composition on functions. For a stringConsider the languageThe minimum number of states in any DFA accepting L is______.Correct answer is '120'. 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 ∑ be the set of all bijections from {1,…,5}to {1,….,5}, where id denotes the identity function, i.e.denote composition on functions. For a stringConsider the languageThe minimum number of states in any DFA accepting L is______.Correct answer is '120'. 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 ∑ be the set of all bijections from {1,…,5}to {1,….,5}, where id denotes the identity function, i.e.denote composition on functions. For a stringConsider the languageThe minimum number of states in any DFA accepting L is______.Correct answer is '120'. Can you explain this answer?.

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