There are 5 students.|Permutations and Combinations|JEE MAIN

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25-July-2021_S1

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There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10 students can be selected from them so as to include at least 2 students from each class and at most 5 students from the total 11 students of class 10 and 11 is 100 k, then k is equal to _______.

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A series LCR circuit is subjected to an AC signal of $200 \mathrm{~V}, 50 \mathrm{~Hz}$. If the voltage across the...

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A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius 9 m and...

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The electrostatic force $\left(\overrightarrow{\mathrm{F}}_1\right)$ and magnetic force ( $\overrightarrow{\mathrm{F}}_2$ ) acting on a charge q moving with velocity v can...

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A particle moves in $x-y$ plane under the influence of a force $\vec{F}$ such that its linear momentum is $...

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If n is the number density and d is the diameter of the molecule, then the average distance covered by...

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The vehicles carrying inflammable fluids usually have metallic chains touching the ground :

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A galvanometer of resistance $100 \Omega$ when connected in series with $400 \Omega$ measures a voltage of upto 10 V...

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The angular momentum of an electron in a hydrogen atom is proportional to : (Where r is the radius of...

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Which of the following statement is not true about stopping potential $\left(\mathrm{V}_0\right)$ ?

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Given below are two statements :
Statement I : When the white light passed through a prism, the red...

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Consider the matrices : $\mathrm{A}=\left[\begin{array}{rr}2 & -5 \\ 3 & \mathrm{~m}\end{array}\right], \mathrm{B}=\left[\begin{array}{c}20 \\ \mathrm{~m}\end{array}\right]$ and $X=\left[\begin{array}{l}x \\ y\end{array}\right]$. Let the...

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QJEE Main 20242024

Let the inverse trigonometric functions take principal values. The number of real solutions of the equation $...

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If $\left(\frac{1}{\alpha+1}+\frac{1}{\alpha+2}+\cdots .+\frac{1}{\alpha+1012}\right)-\left(\frac{1}{2 \cdot 1}+\frac{1}{4 \cdot 3}+\frac{1}{6 \cdot 5}+\cdots .+\frac{1}{2024 \cdot 2023}\right)=\frac{1}{2024}$, then $\alpha$ is equal to-

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The square of the distance of the image of the point $(6,1,5)$ in the line $\frac{x-1}{3}=\frac{y}{2}=\frac{z-2}{4}$, from the origin is

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Let $\mathrm{A}, \mathrm{B}$ and C be three points on the parabola $y^2=6 x$ and let the line segment $A B$...

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QJEE Main 20242024

Let $A=\{(x, y): 2 x+3 y=23, x, y \in N\}$ and $\mathrm{B}=\{\mathrm{x}:(\mathrm{x}, \mathrm{y}) \in \mathrm{A}\}$. Then the number of one-one...

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The number of integers, between 100 and 1000 having the sum of their digits equals to 14, is

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QJEE Main 20242024

For a differentiable function $\mathrm{f}: I R \rightarrow I R$, suppose $f^{\prime}(\mathrm{x})=3 f(\mathrm{x})+\alpha$, where $\alpha \in \mathrm{IR}, f(0)=1$ and $...

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