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Permutations and Combinations

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
The total number of three-digit numbers, with one digit repeated exactly two times, is
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The number of ways to distribute 30 identical candies among four children $\mathrm{C}_1, \mathrm{C}_2, \mathrm{C}_3$ and $\mathrm{C}_4$ so that $\mathrm{C}_2$ receives atleast 4 and atmost...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $\mathrm{b}_1 \mathrm{~b}_2 \mathrm{~b}_3 \mathrm{~b}_4$ be a 4 -element permutation with $\mathrm{b}_{\mathrm{i}} \in\{1,2,3, \ldots \ldots \ldots, 100\}$ for $1 \leq \mathrm{i} \leq 4$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is
JEE Main Mathematics Easy
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Q JEE MAIN 2022
There are ten boys $\mathrm{B}_1, \mathrm{~B}_2, \ldots ., \mathrm{B}_{10}$ and five girls $\mathrm{G}_1, \mathrm{G}_2, \ldots ., \mathrm{G}_5$ in a class. Then the number of ways...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let A be a 3 × 3 matrix having entries from the set {–1, 0, 1}. The number of all such matrices A having sum...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is ______.
JEE Main Mathematics Hard
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Q JEE MAIN 2022
In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct There are 3 marks for each...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The number of one-one function $f:\{a, b, c, d\} \rightarrow\left\{0,1,2_{\text {sui. }} .10\right\}$ such that $2 f(a) . f(b)+3 f(c)+f(d)=0$ is $\_\_\_\_$
JEE Main Mathematics Hard
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