A company representative is distributing 5 identical samples of a product among 12 houses in a row such that each house gets at most one sample. The probability that no two consecutive houses get one sample is

• Correct answer
  A

  $\frac{7}{99}$
• B

  $\frac{5}{12}$
• C

  $\frac{4}{13}$
• D

  $\frac{5}{31}$

Hence, the correct answer is option: 'A'.