List questions from factorial

Published on 10 May 2011 - 4:56

97

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Reducing $\prod \limits_{0 \le j \ne i \le n} \frac{n+1-j}{i-j}$ to $\frac{(n+1)!}{(n+1-i)\cdot i! \cdot (n-i)!}(-1)^{(n-i)}$

Published on 30 May 2011 - 19:25

5.2k

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What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?

Published on 08 Jun 2011 - 15:33

2.3k

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How accurately can huge factorials be calculated?

Published on 06 Jul 2011 - 15:04

1k

Views

Permutation Problem with a Variable

Published on 08 Apr 2026 - 17:24

138

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Combination Problem with a Variable

Published on 24 Jul 2011 - 3:47

6k

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Probability, factorials, the mystery of it all

Published on 29 Jul 2011 - 20:00

20.3k

Views

Solve by induction: $n!>(n/e)^n$

Published on 20 Aug 2011 - 19:44

1k

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A series problem by Knuth

Published on 08 Apr 2026 - 12:31

11.8k

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What's the limit of the sequence $\lim\limits_{n \to\infty} \frac{n!}{n^n}$?

Published on 04 Sep 2011 - 2:01

19.8k

Views

Is there a way to solve for an unknown in a factorial?

Published on 04 Sep 2011 - 7:32

20.9k

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Approximating the logarithm of the binomial coefficient

Published on 15 Sep 2011 - 7:54

3.6k

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Inductive proof for the Binomial Theorem for rising factorials

Published on 16 Sep 2011 - 20:31

854

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Why is the zero factorial one i.e ($0!=1$)?

Published on 26 Sep 2011 - 19:09

294

Views

Simplify a equation containing factorial, summation, and fraction

Published on 07 Apr 2026 - 14:38

List Question

Factorial Moment of the Geometric Distribution

Reducing $\prod \limits_{0 \le j \ne i \le n} \frac{n+1-j}{i-j}$ to $\frac{(n+1)!}{(n+1-i)\cdot i! \cdot (n-i)!}(-1)^{(n-i)}$

What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?

How accurately can huge factorials be calculated?

Permutation Problem with a Variable

Combination Problem with a Variable

Probability, factorials, the mystery of it all

Solve by induction: $n!>(n/e)^n$

A series problem by Knuth

What's the limit of the sequence $\lim\limits_{n \to\infty} \frac{n!}{n^n}$?

Is there a way to solve for an unknown in a factorial?

Approximating the logarithm of the binomial coefficient

Inductive proof for the Binomial Theorem for rising factorials

Why is the zero factorial one i.e ($0!=1$)?

Simplify a equation containing factorial, summation, and fraction

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