Should have done this 6 years back!

Let $P(x)$ be a polynomial with degree 2009 and leading co-efficient unity such that

$P ( 0 ) = 2008, P ( 1 ) = 2007, P ( 2 ) = 2006, . . . . . . . . , P ( 2008 ) = 0$

and the value of $P(2009) = (n!) - a$ where $n$ and $a$ are natural numbers, then the value of $n+a$ is ?

Try my set