find the value of $$\frac{{^{n} C_0}^2}{n+1}+\frac{{^{n} C_1}^2}{n}+\frac{{^{n} C_2}^2}{n-1}+....\frac{{^{n} C_n}^2}{1}$$

Question

find the value of  $$\frac{{^{n} C_0}^2}{n+1}+\frac{{^{n} C_1}^2}{n}+\frac{{^{n} C_2}^2}{n-1}+....\frac{{^{n} C_n}^2}{1}$$

anonymous · Answer

that notation is  a little funky o.O
are those:
$$nCk = \left(\begin{matrix}n \ k\end{matrix}\right) = \frac{n!}{k!(n-k)!}$$
?

hero · Answer

Hey dipankarstudy, you should check on that previous problem you posted the answer to jenmarhorne2.

anonymous · Answer

yes

anonymous · Answer

and they are squared right?
just trying to make sure im doing the right problem lol

anonymous · Answer

yes...that is an interesting problem ..i can give a hint...use (1+x)^n formula...

anonymous · Answer

no hints please =/
ive used that and gotten a formula without the squares, im still working on it though

anonymous · Answer

okay ...

anonymous · Answer

hello....got it?

anonymous · Answer

not yet =/ unfortunately.

anonymous · Answer

i have posted a new question u can try that also