List questions from multinomial-coefficients

Published on 27 Mar 2026 - 4:57

144

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All Unique Three Digit Combinations using four 8s, three 9s, seven 1's and three 5s

Published on 07 Sep 2021 - 3:39

92

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generating function of multinomial coefficients proof

Published on 09 Sep 2021 - 23:50

52

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$(3x^2+2x+c)^{12}=\sum\limits_{r=0}^{24}A_rx^r$ and $\frac{A_{19}}{A_5}=\frac{1}{2^7},$ then $c$ is?

Published on 10 Sep 2021 - 14:50

279

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Tied chess matches and the monotonicity of $\sum_{k=0}^n \binom{2n}{k,k,2n-2k} (pq)^k (1-p-q)^{2n-2k}$

Published on 23 Feb 2026 - 12:09

111

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Show that the coefficient of $(x_1+x_2+\dots+x_n)^m \prod_{1\leq j<i<n}(x_i-x_j)$ is $\frac{m!}{m_1! m_2!\cdots m_n!}\prod_{1\leq j<i\leq n}(m_i-m_j)$

Published on 26 Sep 2021 - 17:26

226

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Find the $x^n$ coefficient of $(1+x+x^2)^n$

Published on 26 Mar 2026 - 21:26

59

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How many partitions $A_1,A_2,A_3$ are there of a set $S$, $|S| = 30$, and $|A_i| = 10$?

Published on 13 Oct 2021 - 20:38

158

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Confusion about a factor in a composition of series/Faa di Bruno formula

Published on 25 Mar 2026 - 19:04

79

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Is this type of factorisation always possible?

Published on 28 Oct 2021 - 12:45

106

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A way to find a closed form of multinomial convoluted polynome.

Published on 19 Nov 2021 - 14:07

194

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Multinomial sum with positive coefficients

Published on 27 Dec 2021 - 18:58

319

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Number of k-tuples of non-negative integers whose sum equals a given integer

Published on 26 Mar 2026 - 19:18

387

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Differentiation of inner product with matrices

Published on 08 Jan 2022 - 17:53

104

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Sum of product of two multinomial coefficients

Published on 09 Jan 2022 - 9:08

List Question

How to write a square of a trigonometric polynomial cosine?

All Unique Three Digit Combinations using four 8s, three 9s, seven 1's and three 5s

generating function of multinomial coefficients proof

$(3x^2+2x+c)^{12}=\sum\limits_{r=0}^{24}A_rx^r$ and $\frac{A_{19}}{A_5}=\frac{1}{2^7},$ then $c$ is?

Tied chess matches and the monotonicity of $\sum_{k=0}^n \binom{2n}{k,k,2n-2k} (pq)^k (1-p-q)^{2n-2k}$

Show that the coefficient of $(x_1+x_2+\dots+x_n)^m \prod_{1\leq j<i<n}(x_i-x_j)$ is $\frac{m!}{m_1! m_2!\cdots m_n!}\prod_{1\leq j<i\leq n}(m_i-m_j)$

Find the $x^n$ coefficient of $(1+x+x^2)^n$

How many partitions $A_1,A_2,A_3$ are there of a set $S$, $|S| = 30$, and $|A_i| = 10$?

Confusion about a factor in a composition of series/Faa di Bruno formula

Is this type of factorisation always possible?

A way to find a closed form of multinomial convoluted polynome.

Multinomial sum with positive coefficients

Number of k-tuples of non-negative integers whose sum equals a given integer

Differentiation of inner product with matrices

Sum of product of two multinomial coefficients

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