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# Binomial problem pls halp

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Simplify $\dfrac{\dbinom{n}{k-1}}{\dbinom{n}{k-2}}$. Thank you!

Jun 13, 2021
edited by Guest  Jun 13, 2021

#1
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This simplifies to n/(n - k).

Jun 13, 2021
#2
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Guest Jun 13, 2021
#3
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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.

Jun 13, 2021
#4
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okay thanks.

Guest Jun 15, 2021