JEE Math Practice Question
For x $$ \in $$ R, x $$ \ne $$ -1, if (1 + x)2016 + x(1 + x)2015 + x2(1 + x)2014 + . . . . + x2016 = $$\sum\limits_{i = 0}^{2016} {{a_i}} \,{x^i},\,\,$$ then a17 is equal to :
- A.$${{2017!} \over {17!\,\,\,2000!}}$$
- B.$${{2016!} \over {17!\,\,\,1999!}}$$
- C.$${{2017!} \over {2000!}}$$
- D.$${{2016!} \over {16!}}$$
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