n का मान ज्ञात कीजिए यदि -
(i) `(n+2) ! = 2550.n!` , (ii) `(n+1)! = 12(n-1)!`

Explanation

दिया है -
`(n+2) ! = 2550.n!`
`rArr (n+2) ! = 2550.n!`
`rArr (n+2)(n+1) = 2550`
`rArr n^(2) + 3n - 2548 = 0`
`rArr n^(2) + 3n- 2548 = 0`
`rArr (n+52) (n-42) = 0`
`rArr n = 49 " " ( :' n ge 0)`
(ii)दिया है - `(n+1)! = 12 (n-1) !`
`rArr (n+1) n(n-1)! = 2 (n-1) !`
`rArr n^(2 ) + n- 12 = 0`
`rArr (n+4) (n-3) = 0`
`rArr n = 3 " "( :' n ge 0)`