If (n+2)!=60[(n-1)!],find n.

Asked by  | 24th Feb, 2012, 08:28: PM

Expert Answer:

(n+2)!=60[(n-1)!]
Or, (n+2)(n+1)n(n-1)! = 60(n-1)!
Or, n(n+1)(n+2) = 60
Or, n(n+1)(n+2) = 3*4*5 
Or, n(n+1)(n+2) = 3(3+1)(3+2)
hence, n = 3

Answered by  | 27th Feb, 2012, 09:33: AM

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