20 JEE Main 2025 Permutation Combination previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2025 previous-year questions from the Permutation Combination chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Permutation Combination chapter hub.
Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4…
Let m and n,(m n) be two 2-digit numbers. Then the total numbers of pairs (m, n), such that gcd(m, n)=6, is ________
If all the words with or without meaning made using all the letters of the word "KANPUR" are arranged as in a dictionar…
If the number of seven-digit numbers, such that the sum of their digits is even, is m · n · 10ⁿ; m, n \1,2,3, …, 9\, th…
Let p be the number of all triangles that can be formed by joining the vertices of a regular polygon P of n sides and q…
The number of natural numbers, between 212 and 999 , such that the sum of their digits is 15 , is
For n ≥ 2, let Sn denote the set of all subsets of \1,2 … . . ., n\ with no two consecutive numbers. For example \1,3,5…
From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen…
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…
The number of 6-letter words, with or without meaning, that can be formed using the letters of the word MATHS such that…
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