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Which of the following is not true?

A)Class of All languages is not countable

B)Every language in P is also in NP

C)Every language in NP is decidabale.

D)There are some languages in NP but not in P

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  • Class of All languages is not countable is True  
  • Every language in P is also in NP is true since P is subset of NP
  • Every language in NP is decidabale is Ture  either by DTM or NTM .
  • There are some languages in NP but not in P is true.
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Option C i think
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All are true.

1) Set of all languages is Uncountably infinite.

2) Every P is NP , we all know this all.

3) For every NP there is some Deterministic Turing Machine that can solve that in Exponential time. so NP class problems are decidable.

4)Every P is NP but vice versa not true.

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