The crew of an $8$-oar boat is to be chosen from $12$ men,of whom $3$ can row on the stroke side only. The number of ways in which the crew can be arranged is

  • A
    ${ }^{9}C_{4} \times { }^{8}C_{3} \times 3! \times 4!$
  • B
    ${ }^{9}C_{4} \times { }^{8}C_{4} \times 4! \times 4!$
  • C
    ${ }^{8}C_{3} \times { }^{8}C_{3} \times 4! \times 3!$
  • D
    ${ }^{9}C_{4} \times { }^{9}C_{4} \times 4! \times 4!$

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