SOLUTION: Respected Sir, Please help me : If (2n)!/ 3!(2n-3)! and n!/ 2!(n-2)! are in the ratio 44:3,find n. Thank you in anticipation.

Algebra ->  Permutations -> SOLUTION: Respected Sir, Please help me : If (2n)!/ 3!(2n-3)! and n!/ 2!(n-2)! are in the ratio 44:3,find n. Thank you in anticipation.       Log On


   

Question 741214: Respected Sir,
Please help me :
If (2n)!/ 3!(2n-3)! and n!/ 2!(n-2)! are in the ratio 44:3,find n.
Thank you in anticipation.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(2n)!/ 3!(2n-3)! and n!/ 2!(n-2)! are in the ratio 44:3,find n.



%28%28%282n%29%21%2F3%21%282n-3%29%21%29%2F%28n%21%2F2%21%28n-2%29%21%29%29=44%2F3



%28%28%282n%29%21%2F3%21%282n-3%29%21%29%2A%282%21%28n-2%29%21%2Fn%21%29%29=44%2F3




%28%28%282n%29%282n-1%29%282n-2%29%29%2F%283%29%29%2A%281%2F%28n%28n-1%29%29%29=44%2F3

%28%282n-1%29%282n-2%29%29%2F%28n-1%29=22

simplify you will get
2(2n-1)=22
2n-1=11
2n=12
n=6