How many numbers between $5000$ and $10,000$ can be formed using the digits $1, 2, 3, 4, 5, 6, 7, 8, 9$ if each digit appears not more than once in each number?

  • A
    $5 \times ^{8}P_{3}$
  • B
    $5 \times ^{8}C_{3}$
  • C
    $5! \times ^{8}P_{3}$
  • D
    $5! \times ^{8}C_{3}$

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