Q33 / 60 · IAT (IISER) 2025 · Mathematics

Let $n=\sum_{r=0}^{10}(-1)^r{ }^{10} C_r\left(\frac{2}{3}\right)^{2 r} 3^{20}$. Which one of the following statements is TRUE?

  • Correct answer
    A
    $\quad n$ is divisible by 5
  • B
    $\quad n$ is divisible by 6
  • C
    $\quad n$ is divisible by 8
  • D
    $\quad n$ is divisible by 9

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

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