List questions from multinomial-coefficients

Published on 15 Feb 2016 - 6:35

215

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2D walks on a square grid; The number of Paths leading to specific $(X,Y)$

Published on 14 Mar 2016 - 10:01

787

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Multinomial coefficients modulo a prime

Published on 17 Mar 2016 - 21:01

535

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Averaged Multinomial Coefficient

Published on 18 Mar 2016 - 6:29

81

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C compositions of $N$ balls grouped in k types given first and/or last offset ...

Published on 29 Mar 2016 - 3:57

373

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Multinomial Coefficients Confusion

Published on 29 Mar 2016 - 19:08

394

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Counting the amount of four letter sequences

Published on 05 Apr 2016 - 9:20

96

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Prove $\Sigma_{j}\binom{n}{j,k,n-j-k} = 2^{n-k}\binom{n}{k}$

Published on 05 Apr 2016 - 9:56

254

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Upper bound for most likely category in multinomial random vector NOT being max count realized

Published on 25 Mar 2026 - 21:07

96

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What is the coefficient and constant term in the following sequence defined recursively?

Published on 29 Apr 2016 - 5:33

6.1k

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Series expansion of infinite series raised to the $n$th power

Published on 12 May 2016 - 12:41

1.5k

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Number of terms in multivariate polynomial

Published on 26 May 2016 - 7:06

112

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How to prove that ${l \choose a_1,...,a_n}\le n^{l-1} $ , when $a_1+...+a_n=l$.

Published on 29 May 2016 - 16:17

144

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The expansion of $(a+b+c+d)^{20}$

Published on 11 Jun 2016 - 15:06

65

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Is my proof to proove that $\frac{n!}{p_1!p_2!p_3!....p_m!}\in \mathbb{N}$ valid?

Published on 13 Jun 2016 - 5:41

List Question

If $(1+2x)(1+x+x^2)^{n}=\sum_{r=0}^{2n+1} a_rx^r $ then find the required value

2D walks on a square grid; The number of Paths leading to specific $(X,Y)$

Multinomial coefficients modulo a prime

Averaged Multinomial Coefficient

C compositions of $N$ balls grouped in k types given first and/or last offset ...

Multinomial Coefficients Confusion

Counting the amount of four letter sequences

Prove $\Sigma_{j}\binom{n}{j,k,n-j-k} = 2^{n-k}\binom{n}{k}$

Upper bound for most likely category in multinomial random vector NOT being max count realized

What is the coefficient and constant term in the following sequence defined recursively?

Series expansion of infinite series raised to the $n$th power

Number of terms in multivariate polynomial

How to prove that ${l \choose a_1,...,a_n}\le n^{l-1} $ , when $a_1+...+a_n=l$.

The expansion of $(a+b+c+d)^{20}$

Is my proof to proove that $\frac{n!}{p_1!p_2!p_3!....p_m!}\in \mathbb{N}$ valid?

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