Problem Statement

This programming task, is to calculate ANY binomial coefficient. However, it has to be able to output

(

5 3

)

{\displaystyle {\binom {5}{3}}}

,   which is   10. This formula is recommended:

See Also:

Let's start with the solution:

declare
  fun {BinomialCoeff N K}
     {List.foldL {List.number 1 K 1}
      fun {$ Z I}
         Z * (N-I+1) div I
      end
      1}
  end
in
  {Show {BinomialCoeff 5 3}}