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JEE Math Practice Question

The number of functions $$f:\{ 1,2,3,4\} \to \{ a \in Z|a| \le 8\} $$ satisfying $$f(n) + {1 \over n}f(n + 1) = 1,\forall n \in \{ 1,2,3\} $$ is

  1. A.2
  2. B.3
  3. C.1
  4. D.4

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