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Mathematics - Permutation Combination

Practise 44 COMEDK previous year questions on Permutation Combination, compiled from papers spanning 2012 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty COMEDK tests.

Permutation Combination has been asked in 12 of the 15 years of COMEDK papers analysed (2012–2026), with 44 questions in all. 30% of them were easy, 64% moderate and 7% tough. Most of its questions came from 2023, with 10 questions that year. In the last three years (2024–2026) it had 19 questions across 10 papers, about 1.9 per paper.

The chapter's 8 topics are not weighted equally: Permutation (16 questions, 36%), Combination (11 questions, 25%), and Geometric Permutation (7 questions, 16%) have been asked the most. Permutation has also led over the last five years, with 12 questions. Arrangement under Constraint has produced the most tough questions (1).

  1. 1The range of the function is09 May, 2026 (S1)Permutation
  2. 2A batch of 10 cupcakes consists of 5 chocolate , 3 vanilla , and 2 strawberry . If 4 cupcakes are selected to be put into a gift box, find t09 May, 2026 (S1)Combination
  3. 3In how many ways can the squares of a grid (4 rows and 2 columns) be filled with the letters of the word 'SPHERE' such that each row contain09 May, 2026 (S1)Permutation
  4. 4A coach needs to select a 4 - player starting lineup from a pool of 10 players : 5 guards 3 forwards 2 centres Find the number of different 09 May, 2026 (S2)Combination
  5. 5From a group of 8 people 6 are to be chosen such that if a person is chosen person must also be chosen. The number of selections that can be25 May, 2025 (Shift)Combination
  6. 6If , then the values of are either25 May, 2025 (Shift)Combination
  7. 7A shopkeeper sells three varieties of fruit juice. He has a large number of bottles of same size of each variety. The number of different wa10 May, 2025 (S1)Permutation
  8. 8Codes used for vehicle identification consists of two distinct English alphabets followed by two distinct digits from 1 to 9 . How many of t10 May, 2025 (S1)Permutation
  9. 9On each working day of a school there are six periods. The number of ways in which five subjects are arranged if each subject is allotted at10 May, 2025 (S2)Permutation
  10. 10The number of words that can be formed with the letters of the word 'DEFINITE' if two vowels are together and the other two are also togethe10 May, 2025 (S3)Arrangement under Constraint
  11. 11How many natural numbers are there between 100 and 1000 such that at least one of their digits is 6 ?10 May, 2025 (S3)Arrangement under Constraint
  12. 12A student has 3 library cards and 8 books of his interest in the library. Out of these 8 books he does not want to borrow Chemistry part 2 u2024 (Afternoon Shift)Combination
  13. 13The number of four digit numbers strictly greater than 4321 formed using the digits with repetition of digit is2024 (Afternoon Shift)Permutation
  14. 14The letters of the word "COCHIN" are permuted and all the permutations are arranged in alphabetical order as in an English dictionary. The n2024 (Evening Shift)Permutation
  15. 15For an examination a candidate has to select 7 questions from three different groups and C. The three groups contain 4, 5 and 6 questions re2024 (Evening Shift)Combination
  16. 16If a -sided polygon has total 54 diagonal then the value of is2024 (Memory Based)Geometric Permutation
  17. 17Out of 10 given point, 3 are collinear. How many different straight line can be drawn by joining any 2 points from those 10 points?2024 (Memory Based)Geometric Permutation
  18. 18If then2024 (Morning Shift)Terms of Binomial Expansion
  19. 19In how many ways can the word "CHRISTMAS" be arranged so that the letters ' ' and ' ' are never adjacent?2024 (Morning Shift)Permutation
  20. 20In a 12 storey house, 10 people enter a lift cabin. It is known that they will leave the lift in pre-decided groups of 2, 3 5 people at diff2023 (Evening Shift)Permutation
  21. 21How many factors of are perfect squares?2023 (Evening Shift)Selection of one or more item
  22. 22A candidate is required to answer 7 questions out of 12 questions which are divided into two groups each containing 6 questions. He is not p2023 (Evening Shift)Arrangement under Constraint
  23. 23There are 10 points in a plane out of which 4 points are collinear. How many straight lines can be drawn by joining any two of them?2023 (Memory Based)Selection of one or more item
  24. 24The total number of numbers greater than 1000 but less than 4000 that can be formed using 0,2,3,4 (using repetition allowed) are2023 (Memory Based)Permutation
  25. 25A polygon of sides has 105 diagonals, then is equal to2023 (Memory Based)Selection of one or more item
  26. 26The total number of numbers greater than 1000 but less than 4000 that can be formed using 0, 2, 3, 4 (using repetition allowed) are2023 (Morning Shift)Permutation
  27. 27A polygon of n sides has 90 diagonals, then n is equal to2023 (Morning Shift)Combination
  28. 28Preview not available - open to view this question.2023 (Morning Shift)Combination
  29. 29There are 10 points in a plane out of which 4 points are collinear. How many straight lines can be drawn by joining any two of them?2023 (Morning Shift)Permutation
  30. 30There are 12 points in a plane out of which 3 points are collinear. How many straight lines can be drawn by joining any two of them?2022Geometric Permutation
  31. 31A regular polygon of sides has 170 diagonals, then is equal to2022Geometric Permutation
  32. 32The number of triangles which can be formed by using the vertices of a regular polygon of sides is 220 . Then, is equal to2021Geometric Permutation
  33. 33Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from those 8 points?2021Geometric Permutation
  34. 34How many numbers greater than 40000 can be formed from the digits ?2021Factorial
  35. 35If a polygon of sides has 275 diagonals, then is equal to2021Geometric Permutation
  36. 36The number of triangles in a complete graph with 10 non-collinear vertices is2018Combination
  37. 37The sum of all 4-digit numbers that can be formed by using the digits (repetition of digits is not allowed) is2017Summation of Numbers
  38. 38In how many ways can 4 red, 3 yellow and 2 green discs be arranged in a row, if the discs of the same colour are indistinguishable?2017Permutation
  39. 39Given, 5 line segments of lengths units. Then, the number of triangles that can be formed by joining these segments is2015Combination
  40. 40How many numbers greater than 1000000 be formed from ?2015Permutation
  41. 41If , then2014Permutation
  42. 42If a polygon of sides 275 diagonals, then is equal to2014Combination
  43. 43How many numbers of digits can be formed from the digits of the number ?2013Permutation
  44. 44If , where , then the ordered pair is2012Factorial

Frequently Asked Questions

1.How many questions are available for Permutation Combination?

This chapter includes 44 questions compiled from COMEDK papers spanning 2012 to 2026.

2.Are these questions only from COMEDK, or from other exams too?

These are COMEDK questions specifically for the Permutation Combination chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Permutation Combination an important chapter for COMEDK Mathematics?

Permutation Combination has appeared in 12 of the 15 years of COMEDK papers covered here, with 44 questions across 21 papers - about 2 per paper it appears in.

4.What is the difficulty level of Permutation Combination questions in COMEDK?

Of the 44 questions analysed for this chapter, 30% are easy, 64% moderate and 7% tough. 2023 had the most, with 10 questions.

5.Which topics in Permutation Combination should I focus on?

These topics have carried the most weightage in Permutation Combination:

  • Permutation - 16 questions (36%)
  • Combination - 11 questions (25%)
  • Geometric Permutation - 7 questions (16%)
  • Arrangement under Constraint has produced the most tough questions (1).
6.Is Permutation Combination's weightage in COMEDK going up or down?

Across all 21 papers analysed, Permutation Combination has averaged about 2.1 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 1.9 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.