Hi,
I am having trouble trying to show the following proof:
C(2n,n)-C(2n,n-1)=(1/(n+1))*C(2n,n).
C(2n,n) is equal to 2n!/(n!^2), and I have worked out C(2n,n-1) to be (2n)!/((n-1)!(n+1)! but I am not totally sure about that one, and if that is correct, I cannot seem to simplify it into the form required.
Thanks for any help