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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) $$(2n)!\over n!(n+1)!$$

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