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) \((2n)!\over n!(n+1)!\)
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correct option is B) \((2n+2)!\over [(n+1)!]^2\)
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