Simplify $\dfrac{\dbinom{n}{k-1}}{\dbinom{n}{k-2}}$. Thank you!
+287 The closed-form formula for $\binom{n}{k}$ is $\frac{n!}{k!(n-k)!}$. So we can express both numberator and denominator by its closed-form formula and then do some algebra. The final result comes out very simple: three simple terms numerator, and 2 simple terms denominator.
