Do you love factorial?
Number Theory
Level
2
\[\large S=1!+2(2!)+3(3!)+\cdots+10(10!)\]
For \(S\) as defined above, what is the remainder when \(S+2\) is divided by \(11!\)?
You can try my other Sequences And Series problems by clicking here : Part II and here : Part I.
by
Sandeep Bhardwaj