Permutations and Combinations

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Q JEE MAIN 2025

The largest $n \in N$ such that ${3^n}$ divides 50 ! is :

JEE Main Mathematics Easy

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Q JEE MAIN 2025

The number of sequences of ten terms, whose terms are either 0 or 1 or 2 , that contain exactly five 1 s and exactly...

JEE Main Mathematics Easy

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Q JEE MAIN 2025

The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two...

JEE Main Mathematics Easy

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Q JEE MAIN 2025

The number of 6-letter words, with or without meaning, that can be formed using the letters of the word MATHS such that any letter that...

JEE Main Mathematics Medium

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Q JEE MAIN 2025

Let P be the set of seven digit numbers with sum of their digits equal to 11 . If the numbers in P are formed...

JEE Main Mathematics Medium

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Q JEE MAIN 2025

The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0 , 1,2,3,4,5,6,7, such that the sum of...

JEE Main Mathematics Medium

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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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