List questions from binomial-theorem

36

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What is the exact probability of rolling every possible result on an a-sided die at least b times each after rolling c times?

Published on 30 Mar 2026 - 14:22

40

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Rewriting summation in binomial form - counting problem

Published on 25 Mar 2026 - 9:33

113

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Generalization of binomial coefficients to both non-integer arguments

Published on 27 Nov 2023 - 17:06

128

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index of nilpotency of a linear transformation

Published on 26 Mar 2026 - 12:53

330

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A fair 6-sided die is thrown 10 times. What is the probability of rolling a six three times in a row, and the other rolls not being a 6?

Published on 28 Nov 2023 - 14:01

79

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What kind of a formula is this and does it belong to combinatorics?

Published on 29 Nov 2023 - 10:27

64

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Closed form for $f_k(y)$

Published on 30 Nov 2023 - 15:21

52

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Multinomial Theorem expansion in Combinations Problem

Published on 26 Mar 2026 - 0:58

107

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Extracting coefficients with the power series $(1-x)^{-n}$

Published on 26 Mar 2026 - 8:04

23

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PGF of a Poisson-binomial

Published on 30 Mar 2026 - 10:35

61

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exchanging limit and integral of a function which tends to infinity in some points

Published on 08 Dec 2023 - 23:45

29

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Find the first four terms in the binomial series expansion

Published on 09 Dec 2023 - 15:42

98

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The coefficient of $x^{18}$ in the product $(1-x^2)(1-x^3)^9$ is

Published on 10 Dec 2023 - 6:59

108

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$(1+2x+3x^2)^{50}=a_{0}+ a_{1}x+ ... +a_{100}x^{100}$ Find ratio between $a_{51}$ and $a_{49}$.

Published on 26 Mar 2026 - 1:04

77

Views

Negative binomial theorem-proof by induction

Published on 13 Dec 2023 - 13:50

List Question

What is the exact probability of rolling every possible result on an a-sided die at least b times each after rolling c times?

Rewriting summation in binomial form - counting problem

Generalization of binomial coefficients to both non-integer arguments

index of nilpotency of a linear transformation

A fair 6-sided die is thrown 10 times. What is the probability of rolling a six three times in a row, and the other rolls not being a 6?

What kind of a formula is this and does it belong to combinatorics?

Closed form for $f_k(y)$

Multinomial Theorem expansion in Combinations Problem

Extracting coefficients with the power series $(1-x)^{-n}$

PGF of a Poisson-binomial

exchanging limit and integral of a function which tends to infinity in some points

Find the first four terms in the binomial series expansion

The coefficient of $x^{18}$ in the product $(1-x^2)(1-x^3)^9$ is

$(1+2x+3x^2)^{50}=a_{0}+ a_{1}x+ ... +a_{100}x^{100}$ Find ratio between $a_{51}$ and $a_{49}$.

Negative binomial theorem-proof by induction

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