Consider the expansion $\left(x^2+\frac{1}{x}\right)^{15}$. Consider the following statements: 1. The term containing $x^2$ does not exist in the given expansion. 2. The sum of the coefficients of all the terms in the given expansion is $2^{15}$. Which of the above statements is/are correct?

• A

  1 only
• B

  2 only
• Correct answer
  C

  Both 1 and 2
• D

  Neither 1 nor 2

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