Pre Calc

posted by Katie S

Simplify:

n!-(n-1)!
---------
(n-1)!

  1. Reiny

    ( n(n-1)! - (n-1)! )/(n-1)!
    = (n-1)! (n-1)/(n-1)!
    =n-1

    e.g. (5! - 4!)/4! , for the case n=5
    = (5(4!) - 4!)/4!
    =4!(5-1)/4!
    = 5-1
    = 4

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