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Mathematics - Permutation Combination

Practise 47 WBJEE previous year questions on Permutation Combination, compiled from papers spanning 2009 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 WBJEE tests.

Permutation Combination has been asked in 18 of the 18 years of WBJEE papers analysed (2009–2026), with 47 questions in all. 36% of them were easy, 57% moderate and 6% tough. Most of its questions came from 2023, with 4 questions that year. In the last three years (2024–2026) it had 7 questions across 3 papers, about 2.3 per paper.

The chapter's 10 topics are not weighted equally: Permutation (14 questions, 30%), Combination (12 questions, 26%), and Arrangement under Constraint (6 questions, 13%) have been asked the most. Over the last five years the most frequent topics have been Combination (4), Arrangement under Constraint (3), and Permutation (3). Factorial has produced the most tough questions (2).

  1. 1Let 10 Bags which contains different articles respectively. Then the total number of ways to bring out 10 articles from a Bag is2026Combination
  2. 2The number of 3-digit numbers we of the form with and is2026Permutation
  3. 3The value of the expression is2025Properties of Binomial Coefficients
  4. 4If , then the value ' ' is2025Permutation
  5. 5Let N be the number of quadratic equations with coefficients from {0, 1, 2, ....., 9) such that 0 is a solution of each equation. Then the v2024Combination
  6. 6The numbers \(1,2,3, . . {n}\) are arrange in a random order. The probability that the digits \(1,2,3, ., k(k<n)\) appear as neighbors in th2024Arrangement under Constraint
  7. 7Five balls of different colours are to be placed in three boxes of different sizes. The number of ways in which we can place the balls in th2024Selection of one or more item
  8. 8The number of ways in which the letters of the word 'VERTICAL' can be arranged without changing the order of the vowels is2023Arrangement under Constraint
  9. 9\( {n}\) objects are distributed at random among \( {n}\) persons. The number of ways in which this can be done so that at least one of them2023Division of Identical items
  10. 10Let \(A\) be a set containing \(n\) elements. \(A\) subset \(P\) of \(A\) is chosen, and the set \(A\) is reconstructed by replacing the ele2023Combination
  11. 11A letter lock consists of three rings with 15 different letters. If \( {N}\) denotes the number of ways in which it is possible to make unsu2023Permutation
  12. 12The number of zeros at the end of 100! is2022Exponent of prime
  13. 13A is a set containing n elements. and are two subsets of . Then the number of ways of choosing and so that is2022Combination
  14. 14There are white and black balls marked . The number of ways in which we can arrange these balls in a row so that neighbouring balls are of d2022Arrangement under Constraint
  15. 15Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactl2021Permutation
  16. 16What is the number of ways in which an examiner can assign 10 marks to 4 questions, giving not less than 2 marks to any questions?2021Division of Identical items
  17. 17The digit in the unit's place of the number is2021Factorial
  18. 18In a 12 storied building, 3 persons enter a lift cabin. It is known that they will leave the lift at different floors. In how many ways can 2020Permutation
  19. 19If the total number of m-element subsets of the set is times the number of element subsets containing , then is2020Combination
  20. 20In a certain test, there are n questions. In this test students gave wrong answers to at least i questions, where i . If the total number of2020Selection of one or more item
  21. 21A candidate is required to answer 6 out of 12 questions which are divided into two parts A and , each containing 6 questions and he/she is n2019Combination
  22. 22There are 7 greeting cards, each of a different colour and 7 envelopes of same 7 colours as that of the cards. The number of ways in which t2019Dearrangement
  23. 23The number of selection of objects from objects of which are identical and the rest are different, is2018Selection of one or more item
  24. 24From a collection of 20 consecutive natural numbers, four are selected such that they are not consecutive. The number of such selections is2018Arrangement under Constraint
  25. 25On the occasion of Dipawali festival each student of a class sends greeting cards to others. If there are 20 students in the class. the numb2018Permutation
  26. 26The number of all numbers having 5 digits, with distinct digits is2017Permutation
  27. 27The greatest integer which divides for all and fixed is2017Factorial
  28. 28Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that can be formed is2017Combination
  29. 29The number of ways in which the letters of the word ARRANGE can be permuted such that the R's occur together, is2016Arrangement under Constraint
  30. 30The letters of the word COCHIN are permuted and all permutations are arranged in an alphabetical order as in an English dictionary. The numb2016Permutation
  31. 31The letters of the word 'COCHIN' are permuted and all the permutations are arranged in alphabetical order as in English dictionary. The numb2015Combination
  32. 32If the letters of the word 'PROBABILITY' are written down at random in a row, then probability that two B's are together, is2015Permutation
  33. 33Let be 15 distinct numbers chosen from Then, the value of is2015Permutation
  34. 34If and are digits such that then equals2015Permutation
  35. 35Out of 7 consonants and 4 vowels, the number of words (not necessarily meaningful) that can be made, each consisting of 3 consonants and 2 v2014Combination
  36. 36Eleven apples are distributed among a girl and a boy, Then, which one of the following statements is true?2013Combination
  37. 37The number of solutions of the equation where and are positive integers2013Combination
  38. 38A vehicle registration number consists of 2 letters of English alphabet followed by 4 digits, where the first digit is not zero. Then, the t2012Permutation
  39. 39The number of words that can be written using all the letters of the word "IRRATIONAL' is2012Permutation
  40. 40Four speakers will address a meeting where speaker will always speak before Then, the number of ways in which the order of speakers can be p2012Permutation
  41. 41The number of diagonals in a regular polygon of 100 sides is2012Combination
  42. 42The number of diagonals in a polygon is 20 . The number of sides of the polygon is2011Geometric Permutation
  43. 43The value of . is2010Factorial
  44. 44The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is2010Arrangement under Constraint
  45. 45Product of any consecutive natural numbers is always divisible by2009Factorial
  46. 46A polygon has 44 diagonals. The number of its sides is2009Geometric Permutation
  47. 47The sum of the infinite series . is2009Factorial

Frequently Asked Questions

1.How many questions are available for Permutation Combination?

This chapter includes 47 questions compiled from WBJEE papers spanning 2009 to 2026.

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

These are WBJEE 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 WBJEE Mathematics?

Permutation Combination has appeared in 18 of the 18 years of WBJEE papers covered here, with 47 questions across 18 papers - about 3 per paper it appears in.

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

Of the 47 questions analysed for this chapter, 36% are easy, 57% moderate and 6% tough. 2023 had the most, with 4 questions.

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

These topics have carried the most weightage in Permutation Combination:

  • Permutation - 14 questions (30%)
  • Combination - 12 questions (26%)
  • Arrangement under Constraint - 6 questions (13%)
  • Factorial has produced the most tough questions (2).
6.Is Permutation Combination's weightage in WBJEE going up or down?

Across all 18 papers analysed, Permutation Combination has averaged about 2.6 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 2.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.