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Permutations and Combinations

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $S = \left\{ {{p_1},{p_2} \ldots ,{p_{10}}} \right\}$ be the set of first ten prime numbers. Let $A = S \cup P$ , where P...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
The number of 3-digit numbers, that are divisible by 2 and 3, but not divisible by 4 and 9, is
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The number of words, which can be formed using all the letters of the word "DAUGHTER", so that all the vowels never come together, is
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $A=\{1,2,3, \ldots, 10\}$ and $B = \left\{ {\frac{m}{n}:m,n \in A,m < n} \right.$ and $\left. {gcd(m,n) = 1} \right\}$. Then $n(B)$ is equal to
JEE Main Mathematics Hard
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Q JEE MAIN 2025
In a group of 3 girls and 4 boys, there are two boys $B_1$ and $B_2$. The number of ways, in which these girls and...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in which the middle letter...
JEE Main Mathematics Easy
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