The coefficient of $x^{32}$ in the expansion of $(x^4 - \frac{1}{x^3})^{15}$ is

  • A
    $^{15}C_5$
  • B
    $^{15}C_6$
  • C
    $^{15}C_4$
  • D
    $^{15}C_7$

Explore More

Similar Questions

The coefficient of $x^n$ in the expansion of $(1 - 2x + 3x^2 - 4x^3 + \dots)^{-n}$ is

Difficult
View Solution

Number of rational terms in the expansion of $( \sqrt{2} + \sqrt[4]{3} )^{100}$ is:

The square root of the independent term in the expansion of $\left(\frac{2x^2}{5} + \sqrt{\frac{5}{x}}\right)^{10}$ is

If the coefficient of $x^{10}$ in the binomial expansion of $\left(\frac{\sqrt{x}}{5^{1/4}}+\frac{\sqrt{5}}{x^{1/3}}\right)^{60}$ is $5^k l$,where $l, k \in N$ and $l$ is coprime to $5$,then $k$ is equal to

Find the middle term of the expansion of $ \left(\frac{10}{x}+\frac{x}{10}\right)^{10} $.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo