A Factorial Expression

[@scottleung9587]

Got it!

[@musicsubicandcebu1774]

Unrelated but interesting 11!/7! = 7920 (diameter of Earth)

[@Don-Ensley]

problem
17! / (17! - 16!) = ?
= 1 / [( 17! - 16! ) / 17!]
= 1 / [( 17! - 16! ) / 17!]
= 1 / [ 1 - 16! / 17! ]
= 1 / [ 1 - 16! / (16! •17) ]
= 1 / ( 1 - 1 / 17 )
= 1 / ( 16 / 17 )
= 17 / 16
answer
17/16