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Black Book Advanced Problems in MathematicsMathematicsFunctions

Consider all functions f : 1, 2, 3, 4 1, 2, 3, 4 which are one-one, onto and satisfy the following property : if f(k) is odd then f(k + 1) is even, k = 1, 2, 3 . The number of such functions is :

Options

  1. A4
  2. B8
  3. C12
  4. D16

Correct answer

C. 12

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