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Given $(x+y+z)^{15}$ find the coefficient of $x^2y^{10}z^{3}$

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#algebra-precalculus #multinomial-coefficients
62
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Prove $\binom{n}{k_1,...,k_m} = \sum_{i=1}^m \binom{n - 1}{k_1,...,k_{i - 1},..,k_m}$

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#combinatorics #binomial-theorem #multinomial-coefficients
426
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Coefficient of $x^i$ in $(x+x^2+...+x^k)^n$

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#combinatorics #multinomial-coefficients #multinomial-theorem
162
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A certain composition into the elementary symmetric polynomials

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#combinatorics #summation #symmetric-polynomials #set-partition #multinomial-coefficients
49
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Binomial coefficient after expansion

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#linear-algebra #binomial-coefficients #binomial-theorem #multinomial-coefficients
131
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Sum of multinomial coefficients with bounded indices

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#combinatorics #summation #multinomial-coefficients
379
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Intuitive meaning for multinomial coefficient. (Why only one?)

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#probability #multinomial-coefficients
24
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Understanding coefficients of related polynomials

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#algebra-precalculus #polynomials #multinomial-coefficients
327
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Ratio of $2$-norm to infinity norm of coefficients in the expansion of $(1++^2+\ldots+x^m)^n$?

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#combinatorics #polynomials #asymptotics #multinomial-coefficients
146
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Multinomial Coefficient of $x^{1397}$ in expansion of $(x^3+x^4+x^5+...)^6$

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#combinatorics #multinomial-coefficients
47
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Polynomials and Number Theory

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#polynomials #multinomial-coefficients
20
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Trinomial Summation Equation

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#multinomial-coefficients
16
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Polynomials and mulinomial coefficients

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#number-theory #polynomials #multinomial-coefficients
113
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Find the coefficient of $x^k$

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#calculus #combinatorics #algebra-precalculus #generating-functions #multinomial-coefficients
42
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Assign the number of ways to share 16 identical objects

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#calculus #linear-algebra #combinatorics #generating-functions #multinomial-coefficients

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