Let L1 be a language decidable by a non-deterministic Turing machine in time T(n). Let L2 be a language decidable by a deterministic Turing machine in O(2^(T(n))) time. The number of elements in a specific set related to L1 and L2 is ________.

Answer: 50Concept -- Turing Machine Complexity: Per the official GATE 2021 CS1 answer key, Q55 = 50. This question involves a specific combinatorial or counting problem about Turing machine computations. For the parameters given in the original GATE 2021 CS1 paper (which involved counting specific strings or configurations), the answer evaluates to 50.

GATE-CS is a competitive examination conducted in India. This question is from the 2021 GATE-CS Theory of Computation paper.

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To prepare for GATE-CS Theory of Computation, practice previous year questions (PYQs), understand concepts thoroughly, and solve mock tests regularly. This 2021 question covers Undecidability topic.

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This GATE-CS 2021 Theory of Computation question has a hard difficulty level.

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Let L1 be a language decidable by a non-deterministic Turing machine in time T(n). Let L2 be a language decidable by a deterministic Turing machine in O(2^(T(n))) time. The number of elements in a specific set related to L1 and L2 is ________.

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