Question

A general formula for $\mathcal{F}_{n} = \prod_{i=1}^n (a_ix + b_iy)$

score 109 · Answer 1 · 2026-04-16 08:23:56

109

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A general formula for $\mathcal{F}_{n} = \prod_{i=1}^n (a_ix + b_iy)$

Published on 16 Apr 2026 - 8:23

score 65 · Answer 2 · 2026-04-16 11:47:57

65

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A committee of 11 members is to be formed from 8 males and 5 females with at least 6 males in the committee

Published on 16 Apr 2026 - 11:47

score 272 · Answer 3 · 2026-04-10 13:07:50

272

Views

Expected Maximum Value of 10 Randomly Selected Balls from an Urn

Published on 10 Apr 2026 - 13:07

score 107 · Answer 4 · 2026-04-13 01:09:32

107

Views

Binomial Summation that Yields Factorial

Published on 13 Apr 2026 - 1:09

score 105 · Answer 5 · 2026-04-15 01:06:34

105

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series based on $(1+x+x^2)^n$

Published on 15 Apr 2026 - 1:06

score 38 · Answer 6 · 2026-04-13 17:58:12

38

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How to find the large enough number of trials in a binomial distribution based on a desired standard error?

Published on 13 Apr 2026 - 17:58

score 54 · Answer 7 · 2026-04-16 03:51:06

54

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Conjectured form of $\sum_{r=0}^{\infty}\binom{2r}{r}\frac{r^{n}}{a^{r}}$

Published on 16 Apr 2026 - 3:51

score 37 · Answer 8 · 2026-04-12 22:26:31

37

Views

Prove an inequality concerning binomial distribution

Published on 12 Apr 2026 - 22:26

score 44 · Answer 9 · 2026-04-10 22:14:21

44

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Chu-Vandermonde-like expression

Published on 10 Apr 2026 - 22:14

score 51 · Answer 10 · 2026-04-15 21:00:17

51

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Evaluate the expression for $\alpha \in \mathbf{R}$: $\sum_{k=0}^{n}\frac{\alpha^{k+1}}{k+1}C_{n}^k$

Published on 15 Apr 2026 - 21:00

score 54 · Answer 11 · 2026-04-13 14:09:20

54

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How can I prove that $ \sum_{k=1}^{n}\frac{k\cdot P(n,k)}{n^{k+1}} = 1$?

Published on 13 Apr 2026 - 14:09

score 292 · Answer 12 · 2026-04-13 17:11:40

292

Views

Evaluation of the following algebraic equation using binomial coefficients

Published on 13 Apr 2026 - 17:11

score 1.7k · Answer 13 · 2026-04-17 09:52:42

1.7k

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Proving $\sum_{n=1}^{\infty}\binom{2n}{n}^2\frac{4H_{2n}-3H_n}{n2^{4n}}=\zeta(2)$

Published on 17 Apr 2026 - 9:52

score 75 · Answer 14 · 2026-04-16 20:38:14

75

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Asymptotic behavior of combinatorial function

Published on 16 Apr 2026 - 20:38

score 109 · Answer 15 · 2026-04-14 18:26:42

109

Views

How do I calculate the probability of reaching sum $S$ by adding the results of an arbitrary number of rolls of an $n$-sided die?

Published on 14 Apr 2026 - 18:26

List Question

A general formula for $\mathcal{F}_{n} = \prod_{i=1}^n (a_ix + b_iy)$

A committee of 11 members is to be formed from 8 males and 5 females with at least 6 males in the committee

Expected Maximum Value of 10 Randomly Selected Balls from an Urn

Binomial Summation that Yields Factorial

series based on $(1+x+x^2)^n$

How to find the large enough number of trials in a binomial distribution based on a desired standard error?

Conjectured form of $\sum_{r=0}^{\infty}\binom{2r}{r}\frac{r^{n}}{a^{r}}$

Prove an inequality concerning binomial distribution

Chu-Vandermonde-like expression

Evaluate the expression for $\alpha \in \mathbf{R}$: $\sum_{k=0}^{n}\frac{\alpha^{k+1}}{k+1}C_{n}^k$

How can I prove that $ \sum_{k=1}^{n}\frac{k\cdot P(n,k)}{n^{k+1}} = 1$?

Evaluation of the following algebraic equation using binomial coefficients

Proving $\sum_{n=1}^{\infty}\binom{2n}{n}^2\frac{4H_{2n}-3H_n}{n2^{4n}}=\zeta(2)$

Asymptotic behavior of combinatorial function

How do I calculate the probability of reaching sum $S$ by adding the results of an arbitrary number of rolls of an $n$-sided die?

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