A Probabilistic Proof of the Multinomial Theorem

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Abstract

In this note, we give an alternate proof of the multinomial theorem using a probabilistic approach. Although the multinomial theorem is basically a combinatorial result, our proof may be simpler for a student familiar with only basic probability concepts.

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Publication date Created: 2016-08-04

Article

DOI: 10.4169/amer.math.monthly.123.1.94

ArXiV ID: 1608.01718

SO-VID: dcab45cc-7011-4441-83c9-abe801533012

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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ACM classes 60C05

Journal reference American Mathematical Monthly, 123 no. 1 (2016), 94-96

Comments This is a preprint version. A revised version is available at AMM website

Categories math.GM

ScienceOpen disciplines: General mathematics

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ScienceOpen disciplines: General mathematics

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