List questions from binomial-coefficients

Published on 17 Feb 2020 - 20:14

115

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Showing that $\sum_{k=1}^n \binom nk 2^{n-k} = 3^n - 2^n$

Published on 26 Mar 2026 - 22:15

88

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Evaluating $\sum^n_{x=1}{2x-1\choose x}t^x$

Published on 18 Feb 2020 - 4:01

279

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Probability that a randomly drawn subset of a randomly drawn subset has $k$ elements

Published on 18 Feb 2020 - 4:47

91

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Binomial coefficients with summation

Published on 18 Feb 2020 - 5:56

90

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Eisenbud 1.21a $G(n):= F(n)-F(n-1)$, given $G(n)$ is integer-valued, then so is $F(n)$.

Published on 18 Feb 2020 - 16:39

55

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Sum of binomial coefficients problem

Published on 03 Apr 2026 - 11:57

679

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Probability of getting full house in five-card poker with cards missing

Published on 25 Mar 2026 - 8:09

50

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Binomial basis of polynomial ring

Published on 06 Apr 2026 - 3:24

53

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Distributing prizes among people

Published on 19 Feb 2020 - 22:49

209

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Can we interpolate Pascal's triangle?

Published on 26 Mar 2026 - 7:37

49

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Show that ${n \choose k}$ $p^{k(k-1)/2}$ $=$ $\Theta$ $(n^{k}p^{k(k-1)/2})$

Published on 20 Feb 2020 - 10:49

144

Views

A $p$-congruence involving binomial coefficients and the floor function.

Published on 28 Mar 2026 - 20:53

129

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Do not understand why my calculation for this die roll question is wrong

Published on 20 Feb 2020 - 21:09

102

Views

Sum of product of binomial coefficients.

Published on 21 Feb 2020 - 8:40

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A question related to Binomial Theorem

Showing that $\sum_{k=1}^n \binom nk 2^{n-k} = 3^n - 2^n$

Evaluating $\sum^n_{x=1}{2x-1\choose x}t^x$

Probability that a randomly drawn subset of a randomly drawn subset has $k$ elements

Binomial coefficients with summation

Eisenbud 1.21a $G(n):= F(n)-F(n-1)$, given $G(n)$ is integer-valued, then so is $F(n)$.

Sum of binomial coefficients problem

Probability of getting full house in five-card poker with cards missing

Binomial basis of polynomial ring

Distributing prizes among people

Can we interpolate Pascal's triangle?

Show that ${n \choose k}$ $p^{k(k-1)/2}$ $=$ $\Theta$ $(n^{k}p^{k(k-1)/2})$

A $p$-congruence involving binomial coefficients and the floor function.

Do not understand why my calculation for this die roll question is wrong

Sum of product of binomial coefficients.

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