Find (1 + x) + (1 + x) ^ 2 + (1 + x) ^ 3 + +The coefficient of x ^ 3 in (1 + x) ^ 10 expansion

(1+x)+(1+x)^2+(1+x)^3+… +(1+x)^10=（1+x）[1-(1+x)^10]/(1-(1+x))=-（1+x）[1-(1+x)^10]/x
The coefficient of x ^ 3 in the expansion is the coefficient of x ^ 4 in the molecule, that is, the coefficient of the third power of (1 + x) ^ 10 + the coefficient of the fourth power (two negative signs offset)
Permutation combination C103 + C104 = 10 * 9 * 8 / (3 * 2 * 1) + 10 * 9 * 8 * 7 / (4 * 3 * 2 * 1) = 120 + 210 = 330

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