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NEST2011MathematicsPermutation and Combination

Let X= 1,2,3, , 25 . If a student selects a function randomly from the set of all functions from X onto X , then what is the probability that the selected function maps prime numbers to prime numbers?

Options

  1. A9! 25!
  2. B16! 25!
  3. C1 / 25 9
  4. D9!/ 25 9

Correct answer

C. 1 / 25 9

Step-by-step solution

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