On Some Generalizations via Multinomial Coefficients
Mahid M. Mangontarum, Najma B. Pendiaman
Current Journal of Applied Science and Technology · pp. 1–13 · Published 9 Jan 2015
10.9734/BJAST/2015/15505Abstract
This paper gives a brief discussion on the Multinomial coefficients. Using this notion, we obtain generalizations of the Vandermonde’s and the Chu Shih-Chieh’s identities for the Binomial coefficients, respectively. This is done through the use of two known principles in Combinatorics, namely, the Addition and the Multiplication principles. Some examples of generating functions of a sequence involving the multinomial coefficients are also derived and presented.
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