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

Question

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

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Answer

We have,

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

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

$\Rightarrow (\text{n}-2) (\text{n}+1)\text{n}= 5\times 4\times3 $

[By comparing]

$\therefore \text{n}= 3$

Hence, n = 3

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