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MULTINOMIAL

Version 1.0.0.0 (884 Bytes) by Mukhtar Ullah
Multinomial coefficients.
3.0
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Updated 31 Jan 2005

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MULTINOMIAL(N, K1, K2, ..., Km) where N and Ki are numeric arrays of non-negative integers satisfying N = K1 + K2 + ... + Km, returns the multinomial coefficient N!/( K1!* K2! ... *Km!).

MULTINOMIAL(N, [K1 K2 ... Km]) when Ki's are all scalar, returns the same as MULTINOMIAL(N, K1, K2, ..., Km).

Non-integer input arguments are pre-rounded by FLOOR function.

EXAMPLES:
multinomial(8, 2, 6) returns 28
binomial(8, 2) returns 28

multinomial(8, 2, 3, 3) returns 560
multinomial(8, [2, 3, 3]) returns 560

multinomial([8 10], 2, [6 8]) returns [28 45]

Cite As

Mukhtar Ullah (2023). MULTINOMIAL (https://www.mathworks.com/matlabcentral/fileexchange/6156-multinomial), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired: Multinomial Expansion

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Version Published Release Notes
1.0.0.0

a minor improvement: replace round with floor