List questions from factorial

Published on 30 Aug 2013 - 14:52

425

Views

Factorial inequality.

Published on 02 Sep 2013 - 2:47

837

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How to find $\lim_{n\to\infty}\frac{1!+2!+\cdots+n!}{n!}$?

Published on 08 Sep 2013 - 6:02

1.7k

Views

Simple Combinatorics Problem

Published on 09 Sep 2013 - 13:20

245

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Finding natural numbers $a, b, c$ such that $a!=b!\times c!$

Published on 15 Sep 2013 - 12:30

221

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How $\alpha(\alpha+1)\ldots(\alpha+k-1)=\frac{\Gamma(\alpha+k)}{\Gamma(\alpha)}$?

Published on 16 Sep 2013 - 2:35

182

Views

Inequality $C\lceil\log{n}\rceil! \geq n^k$

Published on 16 Sep 2013 - 5:02

111

Views

Divisibility and factorial

Published on 21 Sep 2013 - 2:49

1.7k

Views

Show that the series $\sum_{n,m=1}^\infty 1/(n+m)!$ is absolutely convergent and find its sum

Published on 24 Sep 2013 - 18:13

1.2k

Views

How is it possible that $\infty!=\sqrt{2\pi}$?

Published on 27 Sep 2013 - 11:13

293

Views

Counting permutations, with additional restrictions

Published on 30 Mar 2026 - 4:01

267

Views

Prove that $\frac{n!}{(n-k)!} = n^{\underline{k}}$

Published on 30 Sep 2013 - 4:13

123

Views

Theory behind multiplication & combinations?

Published on 30 Sep 2013 - 21:56

92

Views

How does factorial result in the computation of possible orderings?

Published on 30 Sep 2013 - 22:50

3.5k

Views

How do you solve an inequality with the factorial of a variable?

Published on 30 Sep 2013 - 23:48

List Question

Solutions for x!/y!=(y+1)!

Factorial inequality.

How to find $\lim_{n\to\infty}\frac{1!+2!+\cdots+n!}{n!}$?

Simple Combinatorics Problem

Finding natural numbers $a, b, c$ such that $a!=b!\times c!$

How $\alpha(\alpha+1)\ldots(\alpha+k-1)=\frac{\Gamma(\alpha+k)}{\Gamma(\alpha)}$?

Inequality $C\lceil\log{n}\rceil! \geq n^k$

Divisibility and factorial

Show that the series $\sum_{n,m=1}^\infty 1/(n+m)!$ is absolutely convergent and find its sum

How is it possible that $\infty!=\sqrt{2\pi}$?

Counting permutations, with additional restrictions

Prove that $\frac{n!}{(n-k)!} = n^{\underline{k}}$

Theory behind multiplication & combinations?

How does factorial result in the computation of possible orderings?

How do you solve an inequality with the factorial of a variable?

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