List questions from multinomial-coefficients

Published on 09 Nov 2013 - 3:40

353

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Expectation value of certain number of trials of multinomial distribution.

Published on 12 Nov 2013 - 18:27

6.6k

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find the formula of trinomial expansion

Published on 04 Dec 2013 - 19:16

476

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Multinomial distribution --- sum of squared probabilities

Published on 16 Dec 2013 - 21:58

629

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Unordered multinomial coefficients

Published on 06 Jan 2014 - 20:38

2.8k

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Coefficient of $x^n$ in the series

Published on 07 Jan 2014 - 13:35

4.4k

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Is there a rule to the terms of a falling factorial?

Published on 31 Jan 2014 - 6:15

1.8k

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Help to understand and apply the multinomial theorem

Published on 10 Feb 2014 - 13:47

508

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Multivariate Taylor Polynomial

Published on 11 Feb 2014 - 3:15

75

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For $(1+x+x^2)^n = A_0 + A_1x + ... + A_{2n}x^{2n}$, prove that $(n-r)A_r + (2n -r+1)A_{r-1} = (r+1)A_{r+1}$

Published on 17 Feb 2014 - 8:42

913

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Multinomial theorem for rational exponent in application to a trinomial

Published on 26 Mar 2026 - 2:44

184

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Polynomial power over finite fields with certain conditions

Published on 15 May 2017 - 13:16

2.4k

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Number of five-letter words that use letters from the set $\{A, B, C, D, E\}$ and contain exactly three different letters.

Published on 16 May 2017 - 15:44

33

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Showing equivalence between counting problems

Published on 16 May 2017 - 21:06

101

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Show that for any $n \in \mathbb N$, $(n^2)!$ is divisible by $(n!)^{n+1}$

Published on 17 May 2017 - 15:06

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Find the Coefficient of $x^{25}$ in....

Expectation value of certain number of trials of multinomial distribution.

find the formula of trinomial expansion

Multinomial distribution --- sum of squared probabilities

Unordered multinomial coefficients

Coefficient of $x^n$ in the series

Is there a rule to the terms of a falling factorial?

Help to understand and apply the multinomial theorem

Multivariate Taylor Polynomial

For $(1+x+x^2)^n = A_0 + A_1x + ... + A_{2n}x^{2n}$, prove that $(n-r)A_r + (2n -r+1)A_{r-1} = (r+1)A_{r+1}$

Multinomial theorem for rational exponent in application to a trinomial

Polynomial power over finite fields with certain conditions

Number of five-letter words that use letters from the set $\{A, B, C, D, E\}$ and contain exactly three different letters.

Showing equivalence between counting problems

Show that for any $n \in \mathbb N$, $(n^2)!$ is divisible by $(n!)^{n+1}$

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