List questions from multinomial-coefficients

Published on 22 Jan 2022 - 13:58

70

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Simplify $\sum_{k = 0}^n\sum_{k_1+\ldots+k_{m}=n-k} \binom{nm}{k_1,\ldots,k_m,n-k_1,\ldots,n-k_m}$

Published on 31 Jan 2022 - 17:24

143

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Product of Binomial coeficients

Published on 20 Feb 2022 - 22:48

278

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Bell Polynomials

Published on 26 Mar 2026 - 18:47

124

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Interpretation of multinomial coefficients divided by factorials in a probability problem

Published on 28 Mar 2022 - 0:42

121

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Find the Coefficient of $x^8$ by Multinomial Theorem Expansion for $(1+x^2-x^3)^9$

Published on 26 Mar 2026 - 21:27

123

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Show that $ \binom{n}{i\;j\;k} \le \binom{n}{m\;m\;m} $

Published on 20 May 2022 - 6:26

60

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Upper bound for a certain sum involving multinomial coefficients

Published on 21 May 2022 - 21:02

35

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Computing the number of terms in an $n$-fold finite sum with restriction that at least one index differs from all the others

Published on 02 Jun 2022 - 9:34

452

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Understanding counting using multinomial coefficients

Published on 18 Jun 2022 - 2:05

84

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Coefficient problem using multinomial theorem

Published on 26 Mar 2026 - 22:59

57

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How to prove that the coefficients of a power series satisfy a given recurrence condition?

Published on 05 Jul 2022 - 3:50

157

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Given 10 random letters where the number of repeated letters is known (i.e. 3,2,1,1,1,1,1), what's the formula for finding the number of combinations?

Published on 09 Jul 2022 - 16:58

110

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Sum of the squares of the elements of the $n$-th layer of Pascal's simplex

Published on 22 Jul 2022 - 23:27

171

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Multinomial coefficient or stars and bars for $k$ sided dice rolls?

Published on 04 Aug 2022 - 13:10

List Question

Permutation vs Multinomial Coefficients

Simplify $\sum_{k = 0}^n\sum_{k_1+\ldots+k_{m}=n-k} \binom{nm}{k_1,\ldots,k_m,n-k_1,\ldots,n-k_m}$

Product of Binomial coeficients

Bell Polynomials

Interpretation of multinomial coefficients divided by factorials in a probability problem

Find the Coefficient of $x^8$ by Multinomial Theorem Expansion for $(1+x^2-x^3)^9$

Show that $ \binom{n}{i\;j\;k} \le \binom{n}{m\;m\;m} $

Upper bound for a certain sum involving multinomial coefficients

Computing the number of terms in an $n$-fold finite sum with restriction that at least one index differs from all the others

Understanding counting using multinomial coefficients

Coefficient problem using multinomial theorem

How to prove that the coefficients of a power series satisfy a given recurrence condition?

Given 10 random letters where the number of repeated letters is known (i.e. 3,2,1,1,1,1,1), what's the formula for finding the number of combinations?

Sum of the squares of the elements of the $n$-th layer of Pascal's simplex

Multinomial coefficient or stars and bars for $k$ sided dice rolls?

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