Let $A$ be a set consisting of $10$ elements. The number of non-empty relations from $A$ to $A$ that are reflexive but not symmetric is

  • [KVPY 2020]
  • A

    $2^{89}-1$

  • B

    $2^{89}-2^{45}$

  • C

    $2^{45}-1$

  • D

    $2^{90}-2^{45}$

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