# 1/B(n,m)=n((n+m-1) choose (m-1))

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## Theorem

The following formula holds: $$\dfrac{1}{B(n,m)} = n {{n+m-1} \choose {m-1}},$$ where $B$ denotes the beta function and ${{n+m-1} \choose {m-1}}$ denotes a binomial coefficient.