← JEE Advanced PYQ

Permutations and Combinations

JEE Advanced · Mathematics · 28 past questions

18 of 28 · show all

Q4 2024 Paper 1

A group of $9$ students, $s_1, s_2, \ldots, s_9$, is to be divided to form three teams $X, Y$, and $Z$ of…
Q5 2024 Paper 2

PARAGRAPH “I”…
Q6 2022 Paper 1

The number of 4-digit integers in the closed interval $[2022,\ 4482]$ formed by using the digits…
Q8 2021 Paper 2

Let…
Q10 2020 Paper 2

In a hotel, four rooms are available. Six persons are to be accommodated in these four rooms in such a way…
Q11 2019 Paper 2

Five persons $A, B, C, D$ and $E$ are seated in a circular arrangement. If each of them is given a hat of one…
Q13 2018 Paper 2

In a high school, a committee has to be formed from a group of 6 boys $M_1, M_2, M_3, M_4, M_5, M_6$ and 5…
Q14 2017 Paper 1

Words of length 10 are formed using the letters A, B, C, D, E, F, G, H, I, J. Let $x$ be the number of such…
Q17 2015 Paper 1

Let $n$ be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the…
Q18 2015 Paper 2

The coefficient of $x^9$ in the expansion of $(1+x)(1+x^2)(1+x^3)\ldots(1+x^{100})$ is
Q20 2014 Paper 1

Let $n_1 < n_2 < n_3 < n_4 < n_5$ be positive integers such that $n_1+n_2+n_3+n_4+n_5=20$. Then the number of…
Q21 2013 Paper 1

Consider the set of eight vectors $V=\{a\hat i+b\hat j+c\hat k : a,b,c\in\{-1,1\}\}$. Three non-coplanar…
Q23 2012 Paper 2

Paragraph for Questions 49 and 50…
Q24 2012 Paper 2

Paragraph for Questions 49 and 50…
Q25 2010 Paper 2

Let $S = \{1, 2, 3, 4\}$. The total number of unordered pairs of disjoint subsets of $S$ is equal to
Q26 2009 Paper 1

The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2…
Q27 2008 Paper 2

Consider all possible permutations of the letters of the word ENDEANOEL.…
Q28 2007 Paper 2

The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as…