Find and return Binomial Coefficients (BCs) in a matrix up to N.

This function can return N choose K (K <= N) as well as a BC matrix up to N choose N.

The function BINOMIND(N,K,SPEED) does not use loops (apart from a redundant check) or division nor indeed factorials to generate the Binomial Coefficients (BCs). It simply constructs the lower-triangular Pascal matrix and does a simple lookup to get the desired BC.

BINOMIND is much faster than NCHOOSEK at creating matrices of BCs if you set SPEED to TRUE and also has a basic integrity check to compare it with nchoosek. It can return 3 lots of data: comb,binTable, errorRate but you can just use it to find combinations by default.