Given,
$$ \prod\limits_{i=1}^{n - 1}\frac{N-i}{N}, $$
such that $n \leq N$, I know the first two terms of the expansion are
$$ 1 - \frac{{n \choose 2}}{N}. $$
What is the general formula for the polynomial coefficient for the $i$th term?
2026-03-27 18:56:55.1774637815
Polynomial coefficients for $\prod\limits_{i=1}^{n - 1}\frac{N-i}{N}$
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