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Mathematics - Permutation Combination

Practise 31 BITSAT previous year questions on Permutation Combination, compiled from papers spanning 2009 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty BITSAT tests.

Permutation Combination has been asked in 16 of the 16 years of BITSAT papers analysed (2009–2024), with 31 questions in all. 35% of them were easy, 61% moderate and 3% tough. Most of its questions came from 2024, with 5 questions that year. In the last three years (2022–2024) it had 9 questions across 6 papers, about 1.5 per paper.

The chapter's 9 topics are not weighted equally: Permutation (10 questions, 32%), Combination (9 questions, 29%), and Arrangement under Constraint (4 questions, 13%) have been asked the most. Permutation has also led over the last five years, with 5 questions. Permutation has produced the most tough questions (1).

  1. 1The number of arrangements of all digits of 12345 such that at least 3 digits will not come in its position is2024 (Memory Based Paper 1)Permutation
  2. 2If , then is equal to2024 (Memory Based Paper 2)Geometric Permutation
  3. 3At an election a voter may vote for any number of candidates not exceeding the number to be elected. If 4 candidates are to be elected out o2024 (Memory Based Paper 2)Combination
  4. 4A person invites a party of 10 friends at dinner and place so that 4 are on one round table and 6 on the other round table. Total number of 2024 (Memory Based Paper 3)Circular Permutation
  5. 5How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even p2024 (Memory Based Paper 3)Arrangement under Constraint
  6. 6Number of words from the letters of the words BHARAT in which and will never come together is2023 (Memory Based Paper 1)Arrangement under Constraint
  7. 7How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even p2023 (Memory Based Paper 2)Permutation
  8. 8The number of different seven-digit numbers that can be written using only the three digit 1 , 2 and 3 with the condition that the digit 2 o2022Permutation
  9. 9The number of ways of arranging letters of the word HAVANA so that and do not appear together is2022Arrangement under Constraint
  10. 10How many numbers lying between 999 and 10000 can be formed with the help of the digits , when the digits are not repeated?2021Permutation
  11. 11If 16 identical pencils are distributed among 4 children such that each gets at least 3 pencils. The number of ways of distributing the penc2020Division of Identical items
  12. 12The number of possible outcomes in a throw of n ordinary dice in which at least one of the dice shows an odd number is2020Permutation
  13. 13Total number of ways of selecting 2 white squares on a normal chess board if the squares are not from the same row or column is equal to2020Selection of one or more item
  14. 14A person invites a party of 10 friends at dinner and place them so that 4 are on one round table and 6 on the other round table. The number 2020Arrangement under Constraint
  15. 15A person writes letter to six friends and addresses the corresponding envelopes. Let x be the numbers of ways so that at least two of the le2019Combination
  16. 16If a parallelogram is cut by two sets of m lines parallel to its sides, then the number of parallelogram thus formed, is2018Permutation
  17. 17The value of r = 1 10 r C r n C r - 1 n is equal to2017Factorial
  18. 18The number of times the digit 5 will be written when listing the integers from 1 to 1000 , is2017Selection of one or more item
  19. 19All the words that can be formed using alphabets A, and are written as in a dictionary (no alphabet is repeated). Rank of the word RAHUL is2016Permutation
  20. 20If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is:2016Combination
  21. 21The total number of 4 -digit numbers in which the digits are in descending order, is2015Combination
  22. 22The number of all three elements subsets of the set which contain is2014Combination
  23. 23In how many ways can a committee of 5 made out 6 men and 4 women containing atleast one woman?2014Combination
  24. 24In how many ways can 5 boys and 5 girls be seated at a round table so that no two girls may be together?2013Circular Permutation
  25. 25A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the box if at least one2013Combination
  26. 26In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes?2012Division and Distribution of Distinct Items
  27. 27The number of positive integral solution of2012Combination
  28. 28If \({ }^{20} {C}_{ {r}}={ }^{20} {C}_{ {r}-10}\) then \({ }^{18} {C}_{ {r}}\) is equal to2011Combination
  29. 29If \( {1-i }{1+i }=A+i B\), then \(A^2+B^2\) equals to2010Permutation
  30. 30In a polygon no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon be 70 the2010Permutation
  31. 31If \( {2 x+3}{5} < {4 x-1}{2}\), then \(x\) lies in the interval2009Permutation

Frequently Asked Questions

1.How many questions are available for Permutation Combination?

This chapter includes 31 questions compiled from BITSAT papers spanning 2009 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Permutation Combination has appeared in 16 of the 16 years of BITSAT papers covered here, with 31 questions across 19 papers - about 2 per paper it appears in.

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

Of the 31 questions analysed for this chapter, 35% are easy, 61% moderate and 3% tough. 2024 had the most, with 5 questions.

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

These topics have carried the most weightage in Permutation Combination:

  • Permutation - 10 questions (32%)
  • Combination - 9 questions (29%)
  • Arrangement under Constraint - 4 questions (13%)
  • Permutation has produced the most tough questions (1).
6.Is Permutation Combination's weightage in BITSAT going up or down?

Across all 19 papers analysed, Permutation Combination has averaged about 1.6 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.