40 JEE Main 2023 Permutation Combination previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 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.
Number of 4 -digit numbers (the repetition of digits is allowed) which are made using the digits 1 ,   2 ,  …
The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a se…
The number of ways of selecting two numbers a and b , a ∈ 2 , 4 , 6 , … … , 100 and b ∈ 1 , 3 ,…
All words, with or without meaning, are made using all the letters of the word M O N D A Y . These words are written as…
Let f ( x ) = 2 x n + λ , λ ∈ ℝ , n ∈ ℕ , and f ( 4 ) = 133 , f ( 5 ) = 255 . Then th…
The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so that the even digits…
Let S = 1 , 2 , 3 , 5 , 7 , 10 , 11 . The number of non-empty subsets of S that have the sum of all elements a multiple…
The total number of three-digit numbers, divisible by 3 , which can be formed using the digits 1 ,   3 ,   5…
Let 5 digit numbers be constructed using the digits 0 , 2 , 3 , 4 , 7 , 9 with repetition allowed, and are arranged in…
In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which no…
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