Find and return Binomial Coefficients (BCs) in a matrix up to 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.
Cite As
Bruce Raine (2024). Find and return Binomial Coefficients (BCs) in a matrix up to N. (https://www.mathworks.com/matlabcentral/fileexchange/34375-find-and-return-binomial-coefficients-bcs-in-a-matrix-up-to-n), MATLAB Central File Exchange. Retrieved .
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Version | Published | Release Notes | |
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1.2.0.0 | Fixed one bug in the 'if nargin' statement on line 43 and improved 'if k > n' error message on line 49. |
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1.1.0.0 | I added more input parameter checking, an extra input parameter, SPEED as well as a warning message for COMB values above a predefined tolerance limit. I also improved the documentation of the function. |
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1.0.0.0 |