Let L1 be recursively enumerable language but not recursive, L2 be recurive language and L3 be context free language and L4 be regular language.

Which one of the following statements is/are true?

I. L1 ∩ L2 is recursively enumerable language

II. L*3 . L*4 is context free language

III. L2 ∩ L̅2 are recursive language

1
Only I
2
Only I and II
3
Only I and III
4
I, II and III

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