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In: Computer Science

State whether each of the following is true or false. Justify your answer! a. There are...

State whether each of the following is true or false. Justify your answer!

a. There are infinitely many finite languages.

b. Union of any two languages over alphabet {0, 1} is always regular.

c. The value of n3 +6n2 +5n is divisible by 6 for any integer n>0. Provide a proof.

d. Single state NFA can recognize only finite languages (languages with finitely many strings)

e. Intersection of any language and its complement is always regular.

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