Multinomial coefficient
From Encyclopedia of Mathematics
The coefficient
 |
of 
in the expansion of the polynomial 
. In combinatorics, the multinomial coefficient expresses the following: a) the number of possible permutations of 
elements of which 
are of one form, 
of another form
of the 
-th form; b) the number of ways of locating 
different elements in 
different cells in which cell 
contains 
elements, 
, without taking the order of the elements in any cell into account.
Particular cases of multinomial coefficients are the binomial coefficients.
References
| [1] | M. Hall, "Combinatorial theory" , Wiley (1986) |
| [2] | J. Riordan, "An introduction to combinatorial analysis" , Wiley (1967) |
How to Cite This Entry:
Multinomial coefficient. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Multinomial_coefficient&oldid=33295
Multinomial coefficient. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Multinomial_coefficient&oldid=33295
This article was adapted from an original article by S.A. Rukova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article