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:

: choose ( n k -- nCk ) 1 swap 0 ?do over i - i 1+ */ loop nip ;

 5  3 choose .   \ 10
33 17 choose .   \ 1166803110