What is the coefficient of $x^{100}$ in $(1 + x + x^2 + x^3 +.... + x^{100})^3$ ?

  • A

    $^{100}C_3$

  • B

    $^{102}C_3$

  • C

    $^{102}C_2$

  • D

    $^{105}C_2$

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  • [JEE MAIN 2023]