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The coefficient of $x^7$ in the expression $(1 + x)^{10} + x(1 + x)^9 + x^2(1 + x)^8 + \ldots + x^{10}$ is:
(1) 210 (2) 330 (3) 120 (4) 420
Sum $= (1+x)^{11} - x^{11}$. Coefficient of $x^7$: ${}^{11}C_7 = 330$.
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