If f(y) = 1 – (y – 1) + (y – 1)2 – (y – 1)3 + … – (y – 1)17 , then the coefficient of y 2 in it is

Question:
$$
\begin{gathered}
\text { If } f(y)=1-(y-1)+(y-1)^{2}-(y-1)^{3} \\
+\ldots-(y-1)^{17},
\end{gathered}
$$
then the coefficient of $y^{2}$ in it is

${ }^{17} \mathrm{C}_{2}$
${ }^{17} \mathrm{C}_{3}$
${ }^{18} \mathrm{C}_{2}$
${ }^{18} \mathrm{C}_{3}$

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.

JEE Main Previous Year Online May 7, 2012

Solution:

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