List questions from factorial

Published on 13 Jun 2014 - 2:34

86

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What is $\binom{a}b$ with $a<b$?

Published on 13 Jun 2014 - 10:24

157

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Factorial simplification

Published on 15 Jun 2014 - 18:54

718

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Proving Combinatorical Summation: $n!=\sum_{k=0}^n(-1)^k\binom{n}{k}(n-k)^n$

Published on 18 Jun 2014 - 12:32

195

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Prove that $ \left\{\frac{\binom{n+k}{k} }{(n+k)^k}\right\}_{n=1}^{\infty} $ converges to $\frac{1}{k!}$.

Published on 18 Jun 2014 - 19:11

635

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Can the value of $(-9!)$ be found

Published on 19 Jun 2014 - 15:15

2.7k

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Euler's limit formula for the factorial function

Published on 20 Jun 2014 - 2:03

545

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Euler proof of the formula involving factorial?

Published on 23 Jun 2014 - 8:22

202

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Find $\lim_{n\rightarrow\infty}\frac{n}{(n!)^{1/n}}$

Published on 24 Jun 2014 - 4:44

233

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Determine the value of the series $\sum _{ n=1 }^\infty \frac1{ ( n+2) n!}$

Published on 24 Jun 2014 - 6:06

950

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Factorial of zero is 1. Why?

Published on 24 Jun 2014 - 16:14

389

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Proof of an inequality involving factorials

Published on 25 Jun 2014 - 10:00

285

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Completely unique set in permutation

Published on 26 Jun 2014 - 18:54

97

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Factorial and combinations question.

Published on 30 Jun 2014 - 8:59

3.9k

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If $n = 51! +1$, then find number of primes among $n+1,n+2,\ldots, n+50$

Published on 30 Jun 2014 - 20:06

List Question

A quick question about factorials

What is $\binom{a}b$ with $a<b$?

Factorial simplification

Proving Combinatorical Summation: $n!=\sum_{k=0}^n(-1)^k\binom{n}{k}(n-k)^n$

Prove that $ \left\{\frac{\binom{n+k}{k} }{(n+k)^k}\right\}_{n=1}^{\infty} $ converges to $\frac{1}{k!}$.

Can the value of $(-9!)$ be found

Euler's limit formula for the factorial function

Euler proof of the formula involving factorial?

Find $\lim_{n\rightarrow\infty}\frac{n}{(n!)^{1/n}}$

Determine the value of the series $\sum _{ n=1 }^\infty \frac1{ ( n+2) n!}$

Factorial of zero is 1. Why?

Proof of an inequality involving factorials

Completely unique set in permutation

Factorial and combinations question.

If $n = 51! +1$, then find number of primes among $n+1,n+2,\ldots, n+50$

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