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The coefficient of x4 in the binomial expansion of (1+x)4+(1+x)5+⋯+(1+x)11+(1+bx)12 is (n+1)⋅13C5 for some n∈N. Then the smallest natural number possible for b is

Answer» The coefficient of x4 in the binomial expansion of (1+x)4+(1+x)5++(1+x)11+(1+bx)12 is (n+1)13C5 for some nN. Then the smallest natural number possible for b is


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