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Finding number of integer solutions by generating functions.

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#combinatorics #generating-functions #multinomial-coefficients
30
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Solving Recurrences using generating functions (inconsistency with characteristic equation)

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#generating-functions #multinomial-coefficients
14
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Total number of vertices on a pascal m-plex

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#combinatorics #multinomial-coefficients #multinomial-theorem
104
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Sum of multinomial coefficient

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#combinatorics #summation #binomial-coefficients #multinomial-coefficients
60
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But why is this a legitimate way of writing out trinomial expansion?

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#proof-explanation #binomial-theorem #multinomial-coefficients
34
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doubt in the chapter of multinomial theorem

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#binomial-coefficients #binomial-theorem #multinomial-coefficients #multinomial-theorem
45
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6.042/18.062J Mathematics for Computer Science - Recitation 15

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#combinatorics #discrete-mathematics #multinomial-coefficients
78
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is there a general combinatorics formula like n choose k but instead we choose k,l,m ect.

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#probability #combinatorics #probability-theory #binomial-coefficients #multinomial-coefficients
100
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balls in bins in a multinomial setting

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#balls-in-bins #multinomial-coefficients
28
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Multinomial theorem specific question

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#multinomial-coefficients
119
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In the multinomial expansion of $(a+b+c+d)^8$, how many terms (monomials) have coefficient $\begin{pmatrix} 8 \\ 2,4,0,2\end{pmatrix}$?

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#combinatorics #multinomial-coefficients #multinomial-theorem
98
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Multinomial theorem for a power series

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#power-series #binomial-theorem #multinomial-coefficients #multinomial-theorem
216
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Coefficient of $x^k$ in polynomial

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#combinatorics #polynomials #binomial-coefficients #multinomial-coefficients
100
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Central Binomial Coefficients and Multinomial Coefficients

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#combinatorics #binomial-coefficients #multinomial-coefficients #multinomial-theorem
749
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The probability that ${x_1}^{1/k_1}+{x_2}^{1/k_2}+\dotsb+{x_n}^{1/k_n}$ is less than $1$ - combinatorial proof?

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#probability #multinomial-coefficients

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