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Find the value of n if: (i) (n+2)! = 1...

Find the value of n if:
(i) `(n+2)! = 12. n!`
(ii) `(n+2)! = 60-. (n-1)!`
`=({2.4.6....(2n)}{1.3.5....(2.-1)})/(n!)`
`= (2^(n){1.2.3...n}{1.3.5.......(2n-1)})/(n!)`
`= 2^(n) {1.3.5....(2n-1)}`
`= R.H.S`. Hence Proved.
(iii) `(n+3)! = 2550 (n+1)!`
(iv) `(n-2)! = 132. (n-4)!`.

Text Solution

Verified by Experts

The correct Answer is:
(i) `n = 2` (ii) `n = 3` (iii) `n = 48` (iv) `n = 14`
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