Permutations and Combinations

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Q JEE MAIN 2021

If ${ }^n P_r={ }^n P_{r+1}$ and ${ }^n C_r={ }^n C_{r+1}$, then the value of $r$ is equal to:

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Q JEE MAIN 2019

The number of four-digit numbers strictly greater than 4321 that can be formed using the digits 0, 1, 2, 3, 4, 5 (repetition of digits...

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Q JEE MAIN 2021

There are 15 players in a cricket team, out of which 6 are bowlers, 7 are batsmen and 2 are wicketkeepers. The number of ways,...

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Q JEE MAIN 2021

Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y...

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Q JEE-MAIN 2021

If the sides AB, BC and CA of a triangle ABC have 3, 5 and 6 interior points respectively, then the total number of triangles...

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Q JEE MAIN_2021_

Team 'A' consists of 7 boys and n girls and Team 'B' has 4 boys and 6 girls. If a total of 52 single matches...

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Q JEE MAIN 2021

Consider a rectangle ABCD having $5,7,6,9$ points in the interior of the line segments $A B, C D, B C, D A$ respectively. Let $\alpha$...

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Q JEE MAIN 2021

A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners...

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Q JEE MAIN 2021

The students $S_1, S_{2, \ldots \ldots}, S_{10}$ are to be divided into 3 groups $\mathrm{A}, \mathrm{B}$ and C such that each group has at least...

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Q JEE MAIN 2021

The number of times the digit 2 will be written when listing the integers from 1 to 1000 is

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