If $e^{\left(\sinh ^{-1} 2+\cosh ^{-1} \sqrt{6}\right)}=(a+(b+\sqrt{c}) \sqrt{a}+b \sqrt{c})$, then $a+b+c=$

• Correct answer
  A

  $13$
• B

  $15$
• C

  $17$
• D

  $11$

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