The coefficient of x1012 in the expansion of (1 + xn + x253) 10, (where n £ 22 is any positive integer), is

Question:

The coefficient of $x^{1012}$ in the expansion of $\left(1+x^{n}+x^{253}\right)^{10}$, (where $n \leq 22$ is any positive integer), is

  1. 1

  2. ${ }^{10} \mathrm{C}_{4}$

  3. $4 \mathrm{n}$

  4. ${ }^{253} \mathrm{C}_{4}$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.
JEE Main Previous Year Online April 19, 2014

Solution:

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