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Sum of permutations!

I just found that sum of \(n\) permutations with \(i\) equals \(e\Gamma(n+1, 1)\). In other words,

\(P(n,0) + P(n,1) + P(n, 2) + .... P(n,n) = e\Gamma(n+1, 1)\). [where \(\Gamma(x,y)\) is the incomplete gamma function].

Can anyone give a proof of this?

Note by Kartik Sharma
2 years, 8 months ago

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Hi Kartik Sharma , see this or the solution to this question .

But if you aren't familiar with Gamma function , see the link I provided or see it here .

Hope I was useful !!!

Azhaghu Roopesh M - 2 years, 8 months ago

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Thanks, that was helpful. You are quite good, solves almost all the problems.

Kartik Sharma - 2 years, 8 months ago

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You are welcome.

Azhaghu Roopesh M - 2 years, 8 months ago

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@Azhaghu Roopesh M Then, can you help me here too? *If only you have time.

Kartik Sharma - 2 years, 8 months ago

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