Question

Reducing $\binom{t-2}{n-2}/\binom{t-1}{n-1}$ to $\frac{n-1}{t-1}$

score 56 · Answer 1 · 2020-07-01 00:12:48

56

Views

Reducing $\binom{t-2}{n-2}/\binom{t-1}{n-1}$ to $\frac{n-1}{t-1}$

Published on 01 Jul 2020 - 0:12

score 106 · Answer 2 · 2020-07-03 16:43:59

106

Views

Evaluate $\frac{2021!+2020!}{2019!+2018!}.$

Published on 03 Jul 2020 - 16:43

score 604 · Answer 3 · 2026-03-29 15:02:28

604

Views

Prove that $\frac{(3 a+3 b) !(2 a) !(3 b) !(2 b) !}{(2 a+3 b) !(a+2 b) !(a+b) ! a !(b !)^{2}}$ is an integer.

Published on 29 Mar 2026 - 15:02

score 14 · Answer 4 · 2020-07-07 21:00:09

14

Views

Inequality string for comparison of series

Published on 07 Jul 2020 - 21:00

score 122 · Answer 5 · 2020-07-08 22:11:14

122

Views

Factorial—Googol problem help

Published on 08 Jul 2020 - 22:11

score 55 · Answer 6 · 2020-07-10 19:38:54

55

Views

What is the multiplication of $\sum_{k=0}^{n} {n \choose k} \cdot {n \choose k}$ in terms of $n \choose k$

Published on 10 Jul 2020 - 19:38

score 270 · Answer 7 · 2020-07-11 05:23:59

270

Views

Interview Question -- confused about the answer

Published on 11 Jul 2020 - 5:23

score 82 · Answer 8 · 2020-07-11 22:36:13

82

Views

Find all such positive integers $x(>1), y(>1)$ and $z$ so that $x! \cdot y! =z!$ holds.

Published on 11 Jul 2020 - 22:36

score 359 · Answer 9 · 2026-03-29 03:45:13

359

Views

Rolling a dice twice, (1,1) = 1/36 not 2/36? (Generalized Counting Principle confusion)

Published on 29 Mar 2026 - 3:45

score 567 · Answer 10 · 2026-03-27 22:01:29

567

Views

Is every factorial totient?

Published on 27 Mar 2026 - 22:01

score 226 · Answer 11 · 2026-03-28 04:35:41

226

Views

Evalute triple sum $ \sum_{m\geq 0}\sum_{n \geq 0}\sum_{p\geq 0} \frac{m!n!p!}{(m+n+p+2)!}$

Published on 28 Mar 2026 - 4:35

score 43 · Answer 12 · 2020-07-14 15:44:11

43

Views

Sum expressed as a function

Published on 14 Jul 2020 - 15:44

score 45 · Answer 13 · 2020-07-15 06:11:17

45

Views

I have a question on Calculating number of product variants with 4 attributes and each having a different number of choices

Published on 15 Jul 2020 - 6:11

score 75 · Answer 14 · 2020-07-15 09:46:10

75

Views

$(n-1)$-th derivative of a complex polynomial

Published on 15 Jul 2020 - 9:46

score 725 · Answer 15 · 2020-07-16 09:06:46

725

Views

Representing $n!$ as a Polynomial

Published on 16 Jul 2020 - 9:06

List Question

Reducing $\binom{t-2}{n-2}/\binom{t-1}{n-1}$ to $\frac{n-1}{t-1}$

Evaluate $\frac{2021!+2020!}{2019!+2018!}.$

Prove that $\frac{(3 a+3 b) !(2 a) !(3 b) !(2 b) !}{(2 a+3 b) !(a+2 b) !(a+b) ! a !(b !)^{2}}$ is an integer.

Inequality string for comparison of series

Factorial—Googol problem help

What is the multiplication of $\sum_{k=0}^{n} {n \choose k} \cdot {n \choose k}$ in terms of $n \choose k$

Interview Question -- confused about the answer

Find all such positive integers $x(>1), y(>1)$ and $z$ so that $x! \cdot y! =z!$ holds.

Rolling a dice twice, (1,1) = 1/36 not 2/36? (Generalized Counting Principle confusion)

Is every factorial totient?

Evalute triple sum $ \sum_{m\geq 0}\sum_{n \geq 0}\sum_{p\geq 0} \frac{m!n!p!}{(m+n+p+2)!}$

Sum expressed as a function

I have a question on Calculating number of product variants with 4 attributes and each having a different number of choices

$(n-1)$-th derivative of a complex polynomial

Representing $n!$ as a Polynomial

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