List questions from factorial

Published on 12 Apr 2026 - 18:33

548

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For $n \ge 4$, does it follow that ${{3n} \choose {n}} > 4^n$

Published on 11 May 2026 - 0:47

83

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Is there a way to simplify this quotient of factorials?

Published on 10 May 2026 - 13:50

220

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How can I write $n!$ using $\sum$?

Published on 08 Apr 2026 - 5:50

404

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Gamma Function with Square

Published on 11 May 2026 - 3:41

159

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Factors of ${{x+n} \choose {n}}$

Published on 10 May 2026 - 21:28

3.9k

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How to show this sequence is decreasing

Published on 10 May 2026 - 16:53

11.9k

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Factorial of odds

Published on 10 May 2026 - 16:32

68

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2 counting questions after exam

Published on 10 May 2026 - 19:25

56

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Is $n! \nmid n^n$ true for every sufficiently large $n$ (maybe $n \ge 3$)?

Published on 14 Apr 2026 - 3:56

133

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Proving that a prime factor greater than $n$ divides ${{x+n} \choose {n}}$

Published on 16 Apr 2026 - 5:48

58

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$\lim_{n\to\infty}\frac{n!}{(n-k)!k!}(\frac{\lambda t_{\alpha}}{n})^k(1-\frac{\lambda t_{\alpha}}{n})^{n-k}$ Stiriling formula

Published on 11 May 2026 - 1:20

97

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How do you find $0!$

Published on 30 Apr 2026 - 2:50

117

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Is it correct: $1!+2!+\ldots+n!$ is not divisible by $n+1$ for $n\ge3$?

Published on 14 Apr 2026 - 18:08

181

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Higher order factorials.

Published on 11 May 2026 - 1:38

List Question

How to prove the Modulo of a Factorial

For $n \ge 4$, does it follow that ${{3n} \choose {n}} > 4^n$

Is there a way to simplify this quotient of factorials?

How can I write $n!$ using $\sum$?

Gamma Function with Square

Factors of ${{x+n} \choose {n}}$

How to show this sequence is decreasing

Factorial of odds

2 counting questions after exam

Is $n! \nmid n^n$ true for every sufficiently large $n$ (maybe $n \ge 3$)?

Proving that a prime factor greater than $n$ divides ${{x+n} \choose {n}}$

$\lim_{n\to\infty}\frac{n!}{(n-k)!k!}(\frac{\lambda t_{\alpha}}{n})^k(1-\frac{\lambda t_{\alpha}}{n})^{n-k}$ Stiriling formula

How do you find $0!$

Is it correct: $1!+2!+\ldots+n!$ is not divisible by $n+1$ for $n\ge3$?

Higher order factorials.

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