MCQMediumJEE Main 2025 · 2 April, Shift 2Binomial Expansion

Mathematics Question from JEE Main 2025 · 2 April, Shift 2

If r=010(10r+1110r)11Cr+1=α1111111010\sum_{r=0}^{10} \left( \frac{10^{r+1} - 1}{10^{r}} \right) \cdot {}^{11}C_{r+1} = \frac{\alpha^{11} - 11^{11}}{10^{10}}, then α\alpha is equal to :

  • A

    1515

  • B

    1111

  • C

    2424

  • D

    2020

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