Permutations and Combinations

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Q JEE MAIN 2025

Line $L_1$ of slope 2 and line $L_2$ of slope $\frac{1}{2}$ intersect at the origin $O$. In the first quadrant, $P_1$, $P_2, \ldots, P_{12}$ are...

JEE Main Mathematics Easy

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Q JEE MAIN 2025

The number of ways, in which the letters A, B, C, D, E can be placed in the 8 boxes of the figure below so...

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Q JEE MAIN 2023

The number of seven digit positive integers formed using the digits 1,2,3 and 4 only and sum of the digits equal to 12 is ______.

JEE Main Mathematics Medium

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Q JEE MAIN 2023

A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit is 7...

JEE Main Mathematics Medium

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Q JEE MAIN 2023

The total number of three-digit numbers, divisible by 3, which can be formed using the digits 1, 3, 5, 8, if repetition of digits is...

JEE Main Mathematics Easy

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Q JEE MAIN 2023

In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students...

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Q JEE-Main_2023

If ${ }^{2 n} C_3 \cdot{ }^n C_3=10: 1$, then the ratio $\left(n^2+3 n\right):\left(n^2-3 n+4\right)$ is

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Q JEE MAIN 2023

Let the digits a, b, c be in A.P. Nine-digit numbers are to be formed using each of these three digits thrice such that three...

JEE Main Mathematics Hard

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Q JEE MAIN 2023

Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match, is 840,...

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Q JEE MAIN 2023

The number of permutations, of the digits 1, 2, 3, …..7 without repetition, which neither contain the string 153 nor the string 2467, is _______.

JEE Main Mathematics Medium

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