The greatest coefficient in the expansion of (1+x)^{2n+2} is
A)\((2n)!\over(n!)^2\)
B)\((2n+2)!\over[(n+1)!]^2\)
C)\((2n+2)!\over n!(n+1)!\)
D) \((2n)!\over n!(n+1)!\)
correct option is B) \((2n+2)!\over [(n+1)!]^2\)