Question

Multinomial coefficient of a sequence in specific form

score 52 · Answer 1 · 2020-08-02 20:39:40

52

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Multinomial coefficient of a sequence in specific form

Published on 02 Aug 2020 - 20:39

score 76 · Answer 2 · 2020-08-04 11:04:19

76

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Number of binomial coefficients among $\binom{n}{k}\;(0\leq k\leq n)$ which are divisible by $p$, where $n = (n_mn_{m - 1}...n_0)_p$ in base $p$

Published on 04 Aug 2020 - 11:04

score 264 · Answer 3 · 2020-08-17 21:36:56

264

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Multiset - double binomial coefficient?

Published on 17 Aug 2020 - 21:36

score 203 · Answer 4 · 2020-08-18 22:48:14

203

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summation over partial multinomial coefficients

Published on 18 Aug 2020 - 22:48

score 109 · Answer 5 · 2020-08-21 17:06:03

109

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Conceptual difference between multinomial coefficient and Bose-Einstein coefficient: counting the successes of a 6-sided die thrown n times?

Published on 21 Aug 2020 - 17:06

score 229 · Answer 6 · 2026-03-26 04:30:13

229

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Understanding a variant on the multinomial theorem in a commutative ring with unity

Published on 26 Mar 2026 - 4:30

score 753 · Answer 7 · 2020-09-03 18:58:21

753

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Number of non negative integer solutions of $x+y+2z=20$

Published on 03 Sep 2020 - 18:58

score 153 · Answer 8 · 2026-03-26 04:34:28

153

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Methods to find coefficient of a term in sum of polynomials

Published on 26 Mar 2026 - 4:34

score 68 · Answer 9 · 2020-09-08 13:36:57

68

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Let $a_k$ be the coefficient of $x^k$ in the expansion of :- $(x+1) + (x+1)^2 + (x+1)^3 + (x+1)^4 + ... + (x+1)^{99}$ . Find $[\frac{a_4}{a_3}]$

Published on 08 Sep 2020 - 13:36

score 48 · Answer 10 · 2020-09-19 10:14:47

48

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Solving recurrence relation in two variables and multinomial expansion

Published on 19 Sep 2020 - 10:14

score 109 · Answer 11 · 2020-09-22 21:10:47

109

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Why is $\frac{n!}{{r_1}!{r_2}!\dots{r_k}!}=\binom{n}{r_1}\times\binom{n-r_1}{r_2}\times\binom{n-r_1-r_2}{r_3}\times\dots\times\binom{r_k}{r_k}$

Published on 22 Sep 2020 - 21:10

score 63 · Answer 12 · 2020-09-28 17:34:04

63

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Combinatorics and the sum binomial coefficients

Published on 28 Sep 2020 - 17:34

score 915 · Answer 13 · 2020-09-30 00:21:40

915

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How to calculate combination with 2 variables?

Published on 30 Sep 2020 - 0:21

score 91 · Answer 14 · 2020-10-02 09:58:17

91

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Evaluating the $n$th derivative of $(1+x+...+x^n)^d$ at $x=0$

Published on 02 Oct 2020 - 9:58

score 33 · Answer 15 · 2026-02-23 08:35:34

33

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Problem related to multinomial expansion.

Published on 23 Feb 2026 - 8:35

List Question

Multinomial coefficient of a sequence in specific form

Number of binomial coefficients among $\binom{n}{k}\;(0\leq k\leq n)$ which are divisible by $p$, where $n = (n_mn_{m - 1}...n_0)_p$ in base $p$

Multiset - double binomial coefficient?

summation over partial multinomial coefficients

Conceptual difference between multinomial coefficient and Bose-Einstein coefficient: counting the successes of a 6-sided die thrown n times?

Understanding a variant on the multinomial theorem in a commutative ring with unity

Number of non negative integer solutions of $x+y+2z=20$

Methods to find coefficient of a term in sum of polynomials

Let $a_k$ be the coefficient of $x^k$ in the expansion of :- $(x+1) + (x+1)^2 + (x+1)^3 + (x+1)^4 + ... + (x+1)^{99}$ . Find $[\frac{a_4}{a_3}]$

Solving recurrence relation in two variables and multinomial expansion

Why is $\frac{n!}{{r_1}!{r_2}!\dots{r_k}!}=\binom{n}{r_1}\times\binom{n-r_1}{r_2}\times\binom{n-r_1-r_2}{r_3}\times\dots\times\binom{r_k}{r_k}$

Combinatorics and the sum binomial coefficients

How to calculate combination with 2 variables?

Evaluating the $n$th derivative of $(1+x+...+x^n)^d$ at $x=0$

Problem related to multinomial expansion.

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