Binomial Coefficient
Let $n$ and $k$ be non-negative integer numbers and $k\leqslant n$, this application calculates the binomial coefficient \[ \binom{n}{k} = \frac{n!}{k!(n-k)!} \] If it is impossible to calculate using the formula above, e.g. large numbers, the calculator does it using the beta function and the relation \[ \binom{n}{k} = \frac{1}{k*B(k,n-k+1)} = \frac{1}{(n-k)B(k+1,n-k)} \]