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This question already has an answer here:

I am aware that there is a formula $^nC_0 + {^n}C_1 + {^n}C_2 + {^n}C_3 + ... {^n}C_n=2^n$.

Is there any similar formula to calculate the value of $1!+2!+3!+4!...n!$?

Can this be otherwise denoted as the sum of any progression? Like a Geometric Progression, or an Arithmetico-Geometric Progression?

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marked as duplicate by kingW3, Community Oct 18 '17 at 10:12

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ @kingW3 Agreed. Although, it didn't turn up when I searched for it... $\endgroup$ – Abhigyan Chattopadhyay Oct 18 '17 at 10:12
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    $\begingroup$ Yeah the search function isn't ideal, I've used google to find this. $\endgroup$ – kingW3 Oct 18 '17 at 10:13