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Mathematics - Permutation Combination

Practise 142 TS EAMCET previous year questions on Permutation Combination, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty TS EAMCET tests.

Permutation Combination has been asked in 23 of the 24 years of TS EAMCET papers analysed (2001–2024), with 142 questions in all. 48% of them were easy, 42% moderate and 10% tough. Most of its questions came from 2023, with 16 questions that year. In the last three years (2022–2024) it had 43 questions across 17 papers, about 2.5 per paper.

The chapter's 12 topics are not weighted equally: Permutation (30 questions, 21%), Combination (28 questions, 20%), and Arrangement under Constraint (21 questions, 15%) have been asked the most. Permutation has also led over the last five years, with 17 questions. Permutation has produced the most tough questions (6).

  1. 15 boys and 5 girls have to sit around a table. The number of ways in which all of them can sit so that no two boys and no two girls are toge04 May, 2025 (M)Circular Permutation
  2. 2All possible words (with or without meaning) that contain the word 'GENTLE' are formed using all the letters of the word 'INTELLIGENCE'. The04 May, 2025 (M)Permutation
  3. 3Preview not available - open to view this question.04 May, 2025 (M)Permutation
  4. 4All the letters of the word MOTHER are arranged in all possible ways and the resulting words (may or may not have meaning) are arranged as i04 May, 2025 (E)Permutation
  5. 5The number of positive integral solutions of is04 May, 2025 (E)Division of Identical items
  6. 6There are 15 stations on a train route and the train has to be stopped at exactly 5 stations among these 15 stations. If it stops at atleast03 May, 2025 (M)Permutation
  7. 7Number of all possible ways of distributing eight identical apples among three persons is03 May, 2025 (M)Permutation Combination
  8. 8Number of all possible words (with or without meaning) that can be formed using all the letters of the word CABINET in which neither the wor03 May, 2025 (M)Permutation
  9. 9If all the letters of the word ACADEMICIAN are permuted in all possible ways then the number of permutations in which no two A's are togethe03 May, 2025 (E)Permutation
  10. 10The number of all possible three letter words that can be formed by choosing three letters from the letters of the word FEBRUARY so that a v03 May, 2025 (E)Permutation
  11. 11The number of ways in which 6 boys and 4 girls can be arranged in a row such that between any two girls there must be exactly 2 boys is03 May, 2025 (E)Arrangement under Constraint
  12. 12A student has to answer a multiple-choice question having 5 alternatives in which two or more than two alternatives are correct. Then the nu02 May, 2025 (M)Combination
  13. 13Number of triangles whose vertices are the points in the XY-plane with integer coordinates satisfying and is02 May, 2025 (M)Combination
  14. 14If all the letters of the word 'HANDLE' are permuted in all possible ways and the words (with or without meaning) thus formed are arranged i02 May, 2025 (M)Permutation
  15. 15The number of non negative integral solutions of the equation when is02 May, 2025 (E)Division of Identical items
  16. 16The number of integers lying between 1000 and 10000 such that the sum of all the digits in each of those numbers becomes 30 is02 May, 2025 (E)Division of Identical items
  17. 17If all the letters of the word MOST are permuted and the words (with or without meaning) thus obtained are arranged in the dictionary order 02 May, 2025 (E)Permutation
  18. 18The sum of all the 4-digit numbers formed by taking all the digits from without repetition is11 May, 2024 (M)Permutation
  19. 19The number of ways in which 6 distinct things can be distributed into 2 boxes so that no box is empty is11 May, 2024 (M)Division and Distribution of Distinct Items
  20. 20Number of ways in which the number 831600 can be split into two factors which are relatively prime is11 May, 2024 (M)Exponent of prime
  21. 21All the letters of the word 'COLLEGE' are arranged in all possible ways and all the seven letter words (with or without meaning) thus formed10 May, 2024 (M)Arrangement under Constraint
  22. 22If all the possible 3-digit numbers are formed using the digits without repeating any digit, then the number of such 3 -digit numbers which 10 May, 2024 (M)Selection of one or more item
  23. 23A question paper has 3 parts . Part contains 7 questions, part contains 5 questions and Part contains 3 questions. If a candidate is allowed10 May, 2024 (M)Selection of one or more item
  24. 24The number of ways of arranging all the letters of the word "COMBINATIONS" around a circle so that no two vowels come together is10 May, 2024 (E)Arrangement under Constraint
  25. 25If all the numbers which are greater than 6000 and less than 10000 are formed with the digits without repetition of the digits, then the dif10 May, 2024 (E)Permutation
  26. 26A man has 7 relatives, 4 of them are ladies and 3 gents; his wife has 7 other relatives, 3 of them are ladies and 4 gents. The number of way10 May, 2024 (E)Selection of one or more item
  27. 27The sum of all the 4-digit numbers formed by taking all the digits from without repetition, is09 May, 2024 (M)Permutation
  28. 28The number of ways in which 15 identical gold coins can be distributed among 3 persons such that each one gets atleast 3 gold coins is09 May, 2024 (M)Division of Identical items
  29. 29The number of all possible combinations of 4 letters which are taken from the letters of the word ACCOMMODATION is09 May, 2024 (M)Combination
  30. 30Among the 4-digit numbers that can be formed using the digits without repeating any digit, the number of numbers which are divisible by 6 is09 May, 2024 (E)Exponent of prime
  31. 31If the number of circular permutations of 9 distinct things taken 5 at a time is and the number of linear permutations of 8 distinct things 09 May, 2024 (E)Circular Permutation
  32. 32The number of ways in which 4 different things can be distributed to 6 persons so that no person gets all the things is09 May, 2024 (E)Division and Distribution of Distinct Items
  33. 33The number of diagonals of a polygon is 35 . If A, B are two distinct vertices of this polygon, then the number of all those triangles forme14 May, 2023 (M)Combination
  34. 34There are 10 points in a plane, of which no three points are collinear except 4 . Then, the number of distinct triangles that can be formed 14 May, 2023 (M)Combination
  35. 35A student is asked to answer 10 out of 13 questions in an examination such that he must answer atleast four questions from the first five qu14 May, 2023 (M)Combination
  36. 36The number of odd numbers greater than that can be formed by using the digits without repetition is14 May, 2023 (E)Combination
  37. 37The number of ways in which 6 men and 4 women can be seated around a table so that a particular man and a particular woman never sit adjacen14 May, 2023 (E)Circular Permutation
  38. 38There are three sections in a question paper, each section containing 4 questions. If a candidate has to answer only 5 questions from this p14 May, 2023 (E)Combination
  39. 39The number of ways in which boys and girls can be arranged in a row such that all the boys are together and all the girls are also together 13 May, 2023 (M)Arrangement under Constraint
  40. 40Among the positive divisors of the number 12600 , if is the number of divisors which are multiples of 3 and is the number of divisors which 13 May, 2023 (M)Exponent of prime
  41. 41All the letters of the word 'INDEED' are taken and permuted in all possible ways to form distinct 6 letter strings (words with or without me13 May, 2023 (E)Arrangement under Constraint
  42. 42All possible 5 digit numbers each having 5 distinct digits are formed using digits . Among them, the number of numbers which are divisible b13 May, 2023 (E)Combination
  43. 43The total number of ways of forming a committee of 5 members out of 7 Indians, 6 Americans, 5 Russians and 4 Australians so that every commi13 May, 2023 (E)Arrangement under Constraint
  44. 44The number of ways of arranging all the letters of the word "SUNITHA" so that the vowels always occupy the first, middle and last places is12 May, 2023 (M)Factorial
  45. 45The number of all four digit numbers that can be formed with the digits when the repetition of the digits is not allowed, is12 May, 2023 (M)Factorial
  46. 46The number of four digit numbers that can be formed using the digits which are divisible by 4 , when the repetition of any digit is not allo12 May, 2023 (M)Factorial
  47. 47The total number of all those 3-digit numbers in which the sum of all the digits in each of them is 10 , is12 May, 2023 (E)Combination
  48. 48All the letters of the word 'MOTHER' are written in all possible ways and the strings of letters (with or without meaning) so formed are wri12 May, 2023 (E)Factorial
  49. 49Let and . Let be the least and greatest values of respectively. Then20 Jul, 2022 (M)Exponent of prime
  50. 50The number of positive divisors of 360 which are multiples of 3 is20 Jul, 2022 (M)Selection of one or more item

Frequently Asked Questions

1.How many questions are available for Permutation Combination?

This chapter includes 142 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS EAMCET 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 TS EAMCET Mathematics?

Permutation Combination has appeared in 24 of the 25 years of TS EAMCET papers covered here, with 142 questions across 62 papers - about 2 per paper it appears in.

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

Of the 142 questions analysed for this chapter, 48% are easy, 42% moderate and 10% tough. 2023 had the most, with 16 questions.

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

These topics have carried the most weightage in Permutation Combination:

  • Permutation - 30 questions (21%)
  • Combination - 28 questions (20%)
  • Arrangement under Constraint - 21 questions (15%)
  • Permutation has produced the most tough questions (6).
6.Is Permutation Combination's weightage in TS EAMCET going up or down?

Across all 62 papers analysed, Permutation Combination has averaged about 2.3 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 2.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.