The smallest natural number n, such that the coefficient of x in the expansion of 2 3 1 n x x æ ö + ç ÷ è ø is nC23 , is :

Question:

The smallest natural number $n$, such that the coefficient of $x$ in the expansion of $\left(x^{2}+\frac{1}{x^{3}}\right)^{n}$ is ${ }^{n} C_{23}$, is:

  1. 38

  2. 58

  3. 23

  4. 35


Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.
JEE Main Previous Year April 10, 2019 (II)

Solution:

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