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

InterviewSolution

1.

If (n + 2)! = 60 [(n – 1)!], find n.

Answer»

Given,

(n + 2)! = 60 [(n – 1)!]

To Find : n

⇒ (n + 2) × (n + 1) × (n) × (n-1)! = 60 [(n – 1)!]

⇒ (n + 2) × (n + 1) × (n) = 60

⇒ (n + 2) × (n + 1) × (n)

= 5 × 4 × 3

n = 3

Hence, n = 3

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