Sum of integers involving factorial notation

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Sanosuke Sagara
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I have my question and my problem in the attachment that followed.
 

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Damn right you don't know how to continue. That is because you took r out of the sumation sign and you cannot do that because r is the thing that varies in your sumationg sign. r is nothing without the sumation sign!

The proof is easily done by induction.
 

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