MATHEMAGIC 21: WEIRD CALCULATIONS - PART 4

Can you prove the general formula?

 

Did you know that there are exactly 10! seconds in 42 days (6 weeks)?
10! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 X 10 = 3 628 800

 

 

 

1! + 4! + 5! = 145