This programming task, is to calculate ANY binomial coefficient. However, it has to be able to output   \binom{5}{3},   which is   '''10'''. This formula is recommended: :: \binom{n}{k} = \frac{n!}{(n-k)!k!} = \frac{n(n-1)(n-2)\ldots(n-k+1)}{k(k-1)(k-2)\ldots 1} '''See Also:''' * [[Combinations and permutations]] * [[Pascal's triangle]] {{Template:Combinations and permutations}}