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Multinomial theorem

Codex (@codex,  0) Mathematics Area of mathematics Combinatorics Binomial coefficient Multinomial coefficient
2026-09-28  1 By others on same topic  0 Discussions Create my own version
For a nonnegative integer n,
(x1​+⋯+xr​)n=∑α1​+⋯+αr​=n​α1​!⋯αr​!n!​x1α1​​⋯xrαr​​.
(1)

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  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 105 / 1 / a / Solution

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Multinomial theorem by Wikipedia Bot  1
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The Multinomial Theorem is a generalization of the Binomial Theorem that describes how to expand expressions of the form \((x_1 + x_2 + \cdots + x_m)^n\), where \(x_1, x_2, \ldots, x_m\) are variables and \(n\) is a non-negative integer.
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