Question:medium

The coefficient of \(x^4\) in \((1 + x + x^3 + x^4)^{10}\) is

Show Hint

For multinomial expansions, list all exponent combinations carefully.

Updated On: Apr 16, 2026

Show Solution

The Correct Option is C

Solution and Explanation

Was this answer helpful?

Questions Asked in MET exam

Let \( D = \begin{vmatrix} n & n^2 & n^3 \\ n^2 & n^3 & n^5 \\ 1 & 2 & 3 \end{vmatrix} \). Then \( \lim_{n \to \infty} \frac{M_{11} + C_{33}}{(M_{13})^2} \) is:

MET - 2024
Determinants

View Solution

Given vectors \(\vec{a}, \vec{b}, \vec{c}\) are non-collinear and \((\vec{a}+\vec{b})\) is collinear with \((\vec{b}+\vec{c})\) which is collinear with \(\vec{a}\), and \(|\vec{a}|=|\vec{b}|=|\vec{c}|=\sqrt{2}\), find \(|\vec{a}+\vec{b}+\vec{c}|\).

MET - 2024
Addition of Vectors

View Solution

Given \(\frac{dy}{dx} + 2y\tan x = \sin x\), \(y=0\) at \(x=\frac{\pi}{3}\). If maximum value of \(y\) is \(1/k\), find \(k\).

MET - 2024
Differential equations

View Solution

A real differentiable function \(f\) satisfies \(f(x)+f(y)+2xy=f(x+y)\). Given \(f''(0)=0\), then \[ \int_0^{\pi/2} f(\sin x)\,dx = \]

MET - 2024
Definite Integral

View Solution

The coefficient of \(x^4\) in \((1 + x + x^3 + x^4)^{10}\) is

Show Hint

The Correct Option is C

Solution and Explanation

Top Questions on Binomial theorem

Questions Asked in MET exam