Question

Can a negative power for a binomial expansion be taken as the same expression in the denominator with a positive power?

score 132 · Answer 1 · 2026-03-26 01:04:41

132

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Can a negative power for a binomial expansion be taken as the same expression in the denominator with a positive power?

Published on 26 Mar 2026 - 1:04

score 9.2k · Answer 2 · 2026-03-15 09:51:04

9.2k

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How to calculate the number of possible combinations with repetitions?

Published on 15 Mar 2026 - 9:51

score 112 · Answer 3 · 2026-03-26 00:58:22

112

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Why is this result using binomial coefficients true?

Published on 26 Mar 2026 - 0:58

score 164 · Answer 4 · 2026-03-25 04:43:29

164

Views

What is the simplest way to obtain asymptotics of $\sum_{k=0}^n \binom{n}{k} \frac{1}{(1+k)^2}$?

Published on 25 Mar 2026 - 4:43

score 189 · Answer 5 · 2026-03-15 11:58:34

189

Views

why do we call quadratics equation by that name?

Published on 15 Mar 2026 - 11:58

score 1.3k · Answer 6 · 2026-03-21 23:12:03

1.3k

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Birthday problem: using $^nC_r$.

Published on 21 Mar 2026 - 23:12

score 52 · Answer 7 · 2026-03-25 14:18:35

52

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Binomial trial, example

Published on 25 Mar 2026 - 14:18

score 101 · Answer 8 · 2026-03-15 03:31:37

101

Views

Calculate $\sum\limits_{k=0}^{20}(-1)^k\binom{k+2}2$ without calculating each term separately

Published on 15 Mar 2026 - 3:31

score 122 · Answer 9 · 2026-03-25 05:59:42

122

Views

How to find the formula for computing the coefficient?

Published on 25 Mar 2026 - 5:59

score 106 · Answer 10 · 2026-03-15 05:56:22

106

Views

How to compute the sum $\sum\limits_{k=1}^{\infty} 2k{2k\choose k+1} p^{k-1} (1-p)^{k+1}$

Published on 15 Mar 2026 - 5:56

score 157 · Answer 11 · 2026-03-25 06:24:55

157

Views

Having a rectangle stretched on the y-axis and with two opposite points on the y-axis, how to find out the stretching/scale factor?

Published on 25 Mar 2026 - 6:24

score 104 · Answer 12 · 2026-03-15 15:23:03

104

Views

Coefficients in Faulhabers' sum $\sum n^{2m+1}, \ m=0,1,2...$

Published on 15 Mar 2026 - 15:23

score 63 · Answer 13 · 2026-03-25 12:54:59

63

Views

Computing the coefficient of the term of a certain degree in a polynomial

Published on 25 Mar 2026 - 12:54

score 571 · Answer 14 · 2026-03-15 01:28:36

571

Views

Solve an equation which contains binomial coefficient

Published on 15 Mar 2026 - 1:28

score 66 · Answer 15 · 2026-03-15 15:04:24

66

Views

Relation between sum of combinations

Published on 15 Mar 2026 - 15:04

List Question

Can a negative power for a binomial expansion be taken as the same expression in the denominator with a positive power?

How to calculate the number of possible combinations with repetitions?

Why is this result using binomial coefficients true?

What is the simplest way to obtain asymptotics of $\sum_{k=0}^n \binom{n}{k} \frac{1}{(1+k)^2}$?

why do we call quadratics equation by that name?

Birthday problem: using $^nC_r$.

Binomial trial, example

Calculate $\sum\limits_{k=0}^{20}(-1)^k\binom{k+2}2$ without calculating each term separately

How to find the formula for computing the coefficient?

How to compute the sum $\sum\limits_{k=1}^{\infty} 2k{2k\choose k+1} p^{k-1} (1-p)^{k+1}$

Having a rectangle stretched on the y-axis and with two opposite points on the y-axis, how to find out the stretching/scale factor?

Coefficients in Faulhabers' sum $\sum n^{2m+1}, \ m=0,1,2...$

Computing the coefficient of the term of a certain degree in a polynomial

Solve an equation which contains binomial coefficient

Relation between sum of combinations

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