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Binomial Theorem question

2016 · 9 Apr · Shift 1 · Q24

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2016 · 9 Apr · Shift 1 · Q24

Binomial Theorem question

2016 · 9 Apr · Shift 1 · Q24

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

For x

\in

R, x

e

-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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