Permutations and Combinations – JEE Advanced Previous Year Questions (2010–2022)

All 18 JEE Advanced previous-year questions from Permutations and Combinations (Maths), 2010–2022, taken from 13 papers. Practise them together in one test with the official marking and answer key, then review every answer.

▶ Practise all 18 questionsAll JEE Advanced chapters

Permutations and Combinations questions by paper

Sample questions

• JEE Advanced 2022 Paper 2
  Consider 4 boxes where each box contains 3 red balls and 2 blue balls Assume that all 20 balls are distinct In how many different ways can 10 balls be chosen from these…
• JEE Advanced 2019 Paper 2
  Five persons A and are seated in a circular arrangement If each of them is given a hat of one of the three colours red blue and green then the number of ways of…
• JEE Advanced 2018 Paper 1
  The number of 5 digit numbers which are divisible by 4 with digits from the set 1 2 3 4 5 and the repetition of digits is allowed is
• JEE Advanced 2018 Paper 1
  PARAGRAPH A There are five students and in a music class and for them there are five seats and arranged in a row where initially the seat is allotted to the student 1 2…

Question text shown from the scanned paper; open the test to see each question exactly as printed.

More Maths chapters

• Relations and Functions 7
• Trigonometric Functions 19
• Complex Numbers and Quadratic Equations 19
• Binomial Theorem 7
• Sequences and Series 15
• Straight Lines 3
• Conic Sections 45
• Three Dimensional Geometry 13
• Limits and Derivatives 11
• Statistics 2
• Probability 23
• Inverse Trigonometric Functions 11
• Matrices 18
• Determinants 7
• Continuity and Differentiability 10
• Application of Derivatives 21
• Integrals 19
• Application of Integrals 7
• Differential Equations 10
• Vector Algebra 19