Question

For the probability of picking 6 numbers out of 40, why must I divide by 6!?

score 6.2k · Answer 1 · 2026-02-23 13:46:12

6.2k

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For the probability of picking 6 numbers out of 40, why must I divide by 6!?

Published on 23 Feb 2026 - 13:46

score 74 · Answer 2 · 2026-04-02 19:14:35

74

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Find $\ \limsup_{n\to \infty}(\frac{2^n}{n!}) $

Published on 02 Apr 2026 - 19:14

score 338 · Answer 3 · 2026-04-02 18:31:10

338

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approximate $\sum_{k=0}^n {n \choose k} k! n^{-k} \sim {\sqrt{\pi n}\over \sqrt{2}}$

Published on 02 Apr 2026 - 18:31

score 155 · Answer 4 · 2015-10-23 15:10:14

155

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$\sum_{k=1}^n(k!)(k^2+k+1)$ for $n=1,2,3...$ and obtain an expression in terms of $n$

Published on 23 Oct 2015 - 15:10

score 1.5k · Answer 5 · 2015-10-23 15:28:05

1.5k

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How to find the value of convergent series

Published on 23 Oct 2015 - 15:28

score 826 · Answer 6 · 2026-04-02 21:22:48

826

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Summing reciprocal logs of different bases

Published on 02 Apr 2026 - 21:22

score 112 · Answer 7 · 2015-10-28 18:30:44

112

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Find the limit $\lim_{n\to\infty} \frac{(3n)! \, e^n}{(2n)!\,n^n\,8^n}$

Published on 28 Oct 2015 - 18:30

score 609 · Answer 8 · 2015-10-28 21:00:49

609

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Approximate this ratio of factorials

Published on 28 Oct 2015 - 21:00

score 113 · Answer 9 · 2015-10-30 15:32:55

113

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Presenting Factorials as a sequence of multiplied numbers

Published on 30 Oct 2015 - 15:32

score 2.2k · Answer 10 · 2026-03-28 05:42:03

2.2k

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Is $\lfloor n!/e\rfloor$ always even for $n\in\mathbb N$?

Published on 28 Mar 2026 - 5:42

score 106 · Answer 11 · 2015-11-02 12:17:02

106

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Evaluation of $\lim_{m \to \infty} \sum_{k = 0}^{m} \frac{m! (2m-k)!}{(m-k)!(2m)!}\frac{x^k}{k!}$

Published on 02 Nov 2015 - 12:17

score 983 · Answer 12 · 2015-11-02 13:45:51

983

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How to show that (2n-1)(2n-3)!! = (2n-1)!!

Published on 02 Nov 2015 - 13:45

score 2.1k · Answer 13 · 2015-11-03 05:49:01

2.1k

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Find the remainder when $45!$ is divided by $47$?

Published on 03 Nov 2015 - 5:49

score 5.7k · Answer 14 · 2015-11-03 17:11:28

5.7k

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What is the use of Gamma function in real world?

Published on 03 Nov 2015 - 17:11

score 668 · Answer 15 · 2015-11-04 18:51:22

668

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Elementary proof of lower bound for factorial

Published on 04 Nov 2015 - 18:51

List Question

For the probability of picking 6 numbers out of 40, why must I divide by 6!?

Find $\ \limsup_{n\to \infty}(\frac{2^n}{n!}) $

approximate $\sum_{k=0}^n {n \choose k} k! n^{-k} \sim {\sqrt{\pi n}\over \sqrt{2}}$

$\sum_{k=1}^n(k!)(k^2+k+1)$ for $n=1,2,3...$ and obtain an expression in terms of $n$

How to find the value of convergent series

Summing reciprocal logs of different bases

Find the limit $\lim_{n\to\infty} \frac{(3n)! \, e^n}{(2n)!\,n^n\,8^n}$

Approximate this ratio of factorials

Presenting Factorials as a sequence of multiplied numbers

Is $\lfloor n!/e\rfloor$ always even for $n\in\mathbb N$?

Evaluation of $\lim_{m \to \infty} \sum_{k = 0}^{m} \frac{m! (2m-k)!}{(m-k)!(2m)!}\frac{x^k}{k!}$

How to show that (2n-1)(2n-3)!! = (2n-1)!!

Find the remainder when $45!$ is divided by $47$?

What is the use of Gamma function in real world?

Elementary proof of lower bound for factorial

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