From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4 bowlers. One batsmen and one bowler who are captain and vice-captain respectively of the team should be included. Then the total number of ways such a selection can be made, is
Next 10 Questions — JEE Main 2025 (7 April Morning Shift)
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Let $C_1$ be the circle in the third quadrant of radius 3 , that touches both coordinate axes. Let $C_2$ be the circle …
Topic: JEE Main 2025 (7 April Morning Shift)
Let P be the parabola, whose focus is $(-2,1)$ and directrix is $2 x+y+2=0$. Then the sum of the ordinates of the point…
Topic: JEE Main 2025 (7 April Morning Shift)
The mean and standard deviation of $100$ observations are $40$ and $5.1$, respectively. By mistake one observation is t…
Topic: JEE Main 2025 (7 April Morning Shift)
Let $\triangle ABC$ be the triangle such that the equations of lines $AB$ and $AC$ are $3y-x=2$ and $x+y=2$, respective…
Topic: JEE Main 2025 (7 April Morning Shift)
$\displaystyle \lim_{x\to 0^{+}}\frac{\tan\big(5x^{1/5}\big),\ln(1+3x^{2})}{\big(\tan^{-1}(3\sqrt{2})\big),\big(e^{x\sq…
Topic: JEE Main 2025 (7 April Morning Shift)
Let $y=y(x)$ be the solution curve of the differential equation
$x(x^{2}+e^{x})^{2}dy+\big(e^{x}(x-2)y-x^{3}\big)dx=0, …
Topic: JEE Main 2025 (7 April Morning Shift)
Let $A$ be a $3 \times 3$ matrix such that $|\operatorname{adj}(\operatorname{adj}(\operatorname{adj} \mathrm{A}))|=81$…
Topic: JEE Main 2025 (7 April Morning Shift)
The remainder when $\big((64)^{(64)}\big)^{(64)}$ is divided by $7$ is:
Topic: JEE Main 2025 (7 April Morning Shift)
If for $\theta\in\left[-\dfrac{\pi}{3},0\right]$, the points $(x,y)=\big(3\tan(\theta+\tfrac{\pi}{3}),,2\tan(\theta+\tf…
Topic: JEE Main 2025 (7 April Morning Shift)
Let the system of equations :$ \begin{aligned} & 2 x+3 y+5 z=9 \\ & 7 x+3 y-2 z=8 \\ & 12 x+3 y-(4+\lambda) z=16-\mu \e…
Topic: JEE Main 2025 (7 April Morning Shift)
