Question: ) Write a regular expression that defines the language over (a,b,c), consisting of all words that have no single a's, at least one double b,

 ) Write a regular expression that defines the language over (a,b,c),

) Write a regular expression that defines the language over (a,b,c), consisting of all words that have no single a's, at least one double b, and no triple b's. [10] 4) Can a DFA be designed that recognizes the language described in Question 3? Why or why not? [5]

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