Let $a, b, c$ be distinct real numbers. Then the number of real solutions of
$(x-a)^5+(x-b)^3+(x-c)$
is

• Correct answer
  A

  $1$
• B

  $3$
• C

  $5$
• D

  dependent on $a, b$, and $c$.

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