I need to prove the following Proposition

Let N be a positive integer. Then:

1*1! + 2*2! + 3*3! + ... + n *n! = (n+1)! - 1

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- Mar 9th 2008, 12:59 PMalgebrapro18Number Theory Proof
I need to prove the following Proposition

Let N be a positive integer. Then:

1*1! + 2*2! + 3*3! + ... + n *n! = (n+1)! - 1 - Mar 9th 2008, 01:05 PMCaptainBlack
- Mar 9th 2008, 01:20 PMTheEmptySetBy induction..
- Mar 9th 2008, 03:52 PMalgebrapro18
Thank you so much, I thought proof by induction was the way to go.

Is there also a way to do this by Combinatorial Proof because thats the section this problem was from.