Question

Question #3b8b6

Answer 1

Solution: `n=7 ;((7-2)!) /((7-3)!)=(5!)/(4!)= 5`

Explanation:

`((n-2)!) /((n-3)!)=5 or((n-2) * cancel((n-3)...* 2.* 1))/ cancel((n-3)*(n-4)...*2.*1)=5` or

`(n-2)=5 :. n=7` . Solution: `n=7`

Verification :`((n-2)!) /((n-3)!)= ((7-2)!) /((7-3)!)`

`=(5!)/(4!)= (5*cancel(4*3*2*1))/cancel(4*3*2*1)=5` (Verified)