If (n + 3)! = 56 [(n + 1)!], find n. – InterviewSolution

InterviewSolution

1.

If (n + 3)! = 56 [(n + 1)!], find n.

Answer»

Given :

(n + 3)! = 56 [(n + 1)!]

To Find : n

⇒ (n + 3) × (n + 2) × (n + 1)! = 56 [(n + 1)!]

⇒ (n + 3) × (n + 2) = 56

⇒ (n + 3) × (n + 2) = 8 × 7

⇒ n + 3 = 8

n = 5

Hence,

n = 5

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