21 JEE Main 2026 Permutation Combination previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2026 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.
The number of ways, in which 16 oranges can be distributed to four children such that each child gets at least one oran…
Let S=\(m, n): m, n \1,2,3, ….., 50\\. If the number of elements (m, n) in S such that 6m+9ⁿ is a multiple of 5 is p an…
The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be for…
The number of seven-digit numbers, that can be formed by using the digits 1, 2, 3, 5 and 7 such that each digit is used…
The number of 4 -letter words, with or without meaning, which can be formed using the letters PQRPQRSTUVP, is \\\\_.
Let ABC be a triangle. Consider four points p₁, p₂, p₃, p₄ on the side AB, five points p₅, p₆, p₇, p₈, p₉ on the side B…
The number of numbers greater than 5000, less than 9000 and divisible by 3, that can be formed using the digits 0,1,2,5…
The largest n N, for which 7ⁿ divides 101!, is :
Three persons enter in a lift at the ground floor. The lift will go upto 10th floor. The number of ways, in which the t…
Two players A and B play a series of games of badminton. The player, who wins 5 games first, wins the series. Assuming…
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