List questions from multinomial-coefficients

Published on 24 Sep 2017 - 20:18

259

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Expectation in a multinomial distribution (Problem)

Published on 29 Sep 2017 - 16:36

267

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Is there a combinatorial "proof" for this special case of the multinomial theorem?

Published on 26 Mar 2026 - 4:32

1.5k

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Multinomial coefficient recurrence formula

Published on 26 Mar 2026 - 4:28

237

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If ${\bf X}$ is multinomially distributed, then how is $Z_j = \sum_{i} \chi \{X_k = j\}$ distributed?

Published on 24 Oct 2017 - 17:00

133

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Problem in Multinomial Theorem

Published on 26 Mar 2026 - 4:28

222

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Generalized Derangement Problem with $k$ unchanged elements

Published on 18 Nov 2017 - 23:08

304

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Why this equality is true?

Published on 23 Nov 2017 - 12:22

51

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"Compute" (complicated?) expression with multinomial coefficient.

Published on 02 Dec 2017 - 15:02

411

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Coefficient of $x^3$ in $(1-2x+3x^2-4x^3)^{1/2}$

Published on 07 Dec 2017 - 12:14

2.4k

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Multinomial Coefficient example

Published on 07 Dec 2017 - 21:53

226

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power series with multinomial coefficient

Published on 09 Dec 2017 - 17:05

174

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Show that $(X+Y+Z)^n = X^n + Y^n + Z^n$ if $XY = qYX$ and $YZ = q ZY$ and $ZX = qX Z$

Published on 17 Dec 2017 - 21:25

110

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One of the terms in the open form of $(3x^2+2x+y+4z)^{10}$ is randomly chosen, what is the probability that the chosen term contains $x^7$?

Published on 18 Dec 2017 - 18:51

341

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Numerically greatest coefficient in a multinomial expression

Published on 20 Dec 2017 - 20:34

List Question

Upper bound for sum of multinomial coefficients

Expectation in a multinomial distribution (Problem)

Is there a combinatorial "proof" for this special case of the multinomial theorem?

Multinomial coefficient recurrence formula

If ${\bf X}$ is multinomially distributed, then how is $Z_j = \sum_{i} \chi \{X_k = j\}$ distributed?

Problem in Multinomial Theorem

Generalized Derangement Problem with $k$ unchanged elements

Why this equality is true?

"Compute" (complicated?) expression with multinomial coefficient.

Coefficient of $x^3$ in $(1-2x+3x^2-4x^3)^{1/2}$

Multinomial Coefficient example

power series with multinomial coefficient

Show that $(X+Y+Z)^n = X^n + Y^n + Z^n$ if $XY = qYX$ and $YZ = q ZY$ and $ZX = qX Z$

One of the terms in the open form of $(3x^2+2x+y+4z)^{10}$ is randomly chosen, what is the probability that the chosen term contains $x^7$?

Numerically greatest coefficient in a multinomial expression

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