What is the simplest way to find the coefficient of, for example, $\,x^{ 6 }$ in $\left(x+1\right)\cdot\left(x+2\right)\cdot \ldots\cdot\left(x+10\right)\,$? My teacher says that the easiest way is listing, but it doesn't help for high powers.
2026-03-26 14:34:40.1774535680
Coefficient of expansion of $\,x\,$
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