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Select the correct answerOnly problems that are recursively defined can be solved using recursion.OptionsFalseTrue

Question

Select the correct answer

Only problems that are recursively defined can be solved using recursion.

Options:

  • False
  • True
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Solution

Break Down the Problem

  1. Identify the statement's claim: Problems that are recursively defined can be solved using recursion.
  2. Analyze whether this is true for only recursively defined problems or not.

Relevant Concepts

  1. Recursion: A method where the solution to a problem depends on solutions to smaller instances of the same problem.
  2. Recursive Definition: A definition that defines an object in terms of itself.

Analysis and Detail

  1. Not all problems that can be solved using recursion are necessarily defined in a recursive manner. For instance, iterative problems can also be solved using recursion.
  2. A recursively defined problem lends itself to a recursive solution more naturally, but recursion can be applied to non-recursively defined problems as well.

Verify and Summarize

  1. While recursively defined problems are ideally suited for recursion, this does not preclude the existence of non-recursively defined problems that can also be solved via recursion.
  2. Therefore, the claim that only recursively defined problems can be solved using recursion is false.

Final Answer

False

This problem has been solved

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