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MathNet 2008-part-05 — 164 problems (EN–VI) Question 21

Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)

Question 21

Find the coefficient of $x^{6}$ in the expansion of
$$
(x+1)^{6} \cdot \sum_{i=0}^{6} x^{i}
$$