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Probability of $x$ non-zero multinomial coefficients?

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#probability #multinomial-coefficients
838
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Determine the coefficient of $wx^3y^2z^2$ in $(2w -x + y -2z)^8$

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#discrete-mathematics #multinomial-coefficients
77
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Coefficient of x in a geometric sum raised to the power of n

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#multinomial-coefficients #multinomial-theorem
124
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closed-form expression for expected value, $E\left\{X_1\cdots X_k\right\}$ for multinomial distribution

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#combinatorics #expectation #determinant #multinomial-coefficients #multinomial-theorem
452
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Multinomial theorem & combinatorial probabilities

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#probability #combinatorics #binomial-theorem #multinomial-coefficients
163
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Multinomial coefficient formula

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#combinatorics #multinomial-coefficients
787
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Adjusting for overcounting

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#combinatorics #multinomial-coefficients
234
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Multinomial Expansion

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#combinatorics #integer-partitions #multinomial-coefficients
719
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Expansion of summation of power series raised to a power

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#sequences-and-series #summation #power-series #multinomial-coefficients #multinomial-theorem
222
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Sum of coefficients of binomial expansion in special case

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#multinomial-coefficients
185
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Find Coefficient of Trinomial Where Term has a Coefficient

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#combinatorics #multinomial-coefficients #multinomial-theorem
929
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Distribution of sum of iid Categorical Random Variables with outcomes $-1$, $0$ and $1$

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#probability #combinatorics #probability-distributions #multinomial-coefficients
98
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Simplifying $ \sum_{1\cdot m_1 + 2\cdot m_2 + \cdots + n \cdot m_n = n} \frac{1}{m_1 ! m_2 ! \cdots m_n !} t^{m_1 + \cdots + m_n} $

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#combinatorics #generating-functions #multinomial-coefficients #multinomial-theorem
45
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Question on the final step of Hanson's proof that $\prod\limits_{p^a \le n}p^a < 3^n$

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#elementary-number-theory #exponential-function #proof-explanation #multinomial-coefficients
897
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Expectation of the norm of a Gaussian vector raised to a power

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#probability #statistics #multinomial-coefficients #expected-value #multinomial-theorem

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